Publications 2018 

368. T. Mansour and M. Schork, On a close relative of the quantum
plane, Mediterranean Journal of Mathematics 15 (2018) Article 124.

367. M. Lancaster, T. Mansour, S. Mulay and M. Shattuck, Corrigendum to "A general twoterm
recurrence and its solution" [European J. Combin. 33 (2012) 20.26], European Journal of
Combinatorics 71 (2018) 268.

366. S. Elumalai, T. Mansour and M.A. Rostami, New Bounds on the
HyperZagreb index for the simple connected graphs, Electronic Journal
of Graph Theory and Applications 6(1) (2018) 166177.

365. G.W. Jang, T. Kim, D.S. Kim, T. Mansour, Fourier series of sums of
products of Bernoulli and Euler/Genocchi functions, Notes on Number Theory
and Discrete Mathematics 24:1 (2018) 7693.

364. S. Elumalai, S.M. Hosamani, T. Mansour, M.A. Rostami, More on inverse degree
and topological indices of graphs, FILOMAT 32:1 (2018) 165178.

363. Y. Chen, J.L. Gross, and T. Mansour, On the genus distributions of
wheels and of related graphs, Discrete Mathematics 341:4 (2018) 934945.

362. T. Mansour and M. Shattuck, Combinatorial parameters on bargraphs of
permutations, Transactions on Combinatorics 7:2 (2018) 116.

361. T. Mansour and M. Shattuck, Set partitions and parity successions, Journal of
Discrete Mathematical Sciences and Cryptography 20:8 (2018) 16511674.

360. A. Knopfmacher, S.M. Ma, T. Mansour, and S. Wagner, Geometrically distributed Stirling
words and Stirling compositions, Journal of Mathematical Analysis and Applications 460:1 (2018)
98120.

Publications 2017 

359. T. Mansour and M. Schork, Wilf classification of subsets of six and seven fourletter
patterns, Journal of Combinatorics and Number Theory 9:3 (2017).

358. D. Callan, T. Mansour and M. Shattuck, Twelve subsets of permutations
enumerated as maximally clustered permutations, Annales Mathematicae et Informaticae 47 (2017)
4174.

357. H. Hu, T. Mansour, and C. Song, On the maximal interdependence
polynomial of certain graph configurations, Rocky Mountain Journal of Mathematics 47:7
(2017) 22332267.

356. P. Agarwal, S. Jain, and T. Mansour, Further extended Caputo
fractional derivative operator and its applications, Russian Journal of
Mathematical Physics 24:4 (2017) 415425.

355. S.M. Ma, T. Mansour and H.N. Wang, The descent statistic on signed Simsun permutations,
Journal of Automata, Languages and Combinatorics 22:4 (2017) 287302.

354. S. Elumalai, T. Mansour and M.A. Rostami, On the bounds of the forgotten topological
index, Turkish Journal of Mathematics 41:6 (2017) 16871702.

353. T. Mansour and M. Shattuck, A polynomial generalization of some associated
sequences, Periodica Mathematica Hungarica 75:2 (2017) 398412.

352. D. Callan and T. Mansour, Enumeration of 2Wilf Classes of Four 4letter
Patterns, Turkish Journal of Analysis and Number Theory 5:6 (2017) 210225.

351. T. Arikan, E. Kilic and T. Mansour, A Wilf class composed of 19
symmetry classes of quadruples of 4letter patterns, Notes on Number Theory
and Discrete Mathematics 23:3 (2017) 7999.

350. T. Mansour and M. Shattuck, Bargraph statistics on words and set
partitions, Journal Difference Equations and Applications 23:6 (2017)
10251046.

349. D. Callan and T. Mansour, On permutations avoiding 1243, 2134,
and another 4letter pattern, Pure Mathematics and Applications 26:1 (2017) 1121.

348. D. Callan and T. Mansour, On permutations avoiding 1324, 2143, and
another 4letter pattern, Pure Mathematics and Applications 26:1 (2017) 110.

347. T. Kim, T. Mansour and S.H. Rim, Symmetric identities for the
full degenerate Bernoulli polynomials and degenerate Euler polynomials
under symmetric group of degree n, Utilitas Mathematica 103 (2017) 6172.

346. A. Blecher, C. Brennan, A. Knopfmacher, and T. Mansour, The perimeter of words, Discrete
Mathematics 340:10 (2017) 24562465.

345. T. Mansour and M. Shattuck, Nine classes of permutations enumerated by
binomial transform of Fine's sequence, Discrete Applied Mathematics 226 (2017) 94105.

344. A. Blecher, C. Brennan, A. Knopfmacher and T. Mansour, The siteperimeter of words,
Transactions on Combinatorics 6:2 (2017) 3748.

343. T. Mansour and M. Shattuck, A monotonicity property for generalized Fibonacci sequences,
Mathematica Slovaca 67:3 (2017) 585592.

342. T. Mansour and M. Shattuck, Avoidance of type (1,2) patterns by
Catalan words,
Turkish Journal of Analysis and Number Theory 5:3 (2017) 101116.

341. D.S. Kim, T. Kim, H.I. Kwon, G.W. Jang and T. Mansour, A
generalization of symmetric property
beyond Appell polynomials, Proceedings of the Jangjeon Mathematical
Society 20:2 (2017) 145152.

340. T. Mansour and M. Shattuck, Counting rises and levels in rcolor
compositions, Proceedings Mathematical Sciences 127:2 (2017) 203217.

339. M. Archibald, A. Blecher, C. Brennan, A. Knopfmacher, and T. Mansour,
Shedding light on words, Applicable Analysis and Discrete Mathematics 11
(2017) 216231.

338. D. Callan, T. Mansour and M. Shattuck, Wilf classification of triples of 4letter patterns
II, Discrete Mathematics & Theoretical Computer Science 19:1 (2017) #6.

337. D. Callan, T. Mansour and M. Shattuck, Wilf classification of triples of 4letter patterns
I, Discrete Mathematics & Theoretical Computer Science 19:1 (2017) #5.

336. O. Herscovici and T. Mansour, Tsallis p,qdeformed Touchard polynomials and Stirling
numbers, Russian Journal of Mathematical Physics 24:1 (2017) 3750.

335. T. Mansour and M. Shattuck, Avoidance of Classical Patterns by Catalan Sequences, FILOMAT 31:3 (2017) 543558.

334. G.W. Jang, D.S. Kim, T. Kim and T. Mansour, Fourier series of functions related to
Bernoulli polynomials, Advanced Studies in Contemporary Mathematics 27:1 (2017) 4962.

333. F. Caravelli, T. Mansour, L. Sindoni, S. Severini, Erratum to: On moments of the
integrated exponential Brownian motion, The European Physical Journal Plus 132 (2017)
Article 59.

332. T. Mansour, M.A. Rostami, E. Suresh and G.B.A. Xavier, Correcting a paper on Randic and
geometricarithmetic index, Turkish Journal of Mathematics 41 (2017) 2732.

331. J.L. Gross, T. Mansour, T.W. Tucker, Valencepartitioned genus polynomials and their
application to generalized dipoles, Australasian Journal of Combinatorics
67:2 (2017)
203221, Issue in memory of Dan Archdeacon.

330. D. Callan and T. Mansour, A Wilf class composed of 7 symmetry classes of triples
of 4letter patterns, Journal of Analysis & Number Theory An International Journal 5:1 (2017)
1926.

329. A. Asinowski, C. Krattenthaler and T. Mansour, Counting triangulations of balanced
subdivisions of convex polygons, European Journal of Combinatorics 62 (2017) 92114.

328. T. Mansour, J.L. Ramirez and M. Shattuck, A generalization of the rWhitney numbers of
the second kind, Journal of Combinatorics 8:1 (2017) 2955.

327. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Barnestype degenerate Bernoulli and Euler
mixedtype polynomials, Journal of Computational Analysis and Applications 22:7 (2017) 12731287.

326. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Korobov polynomials of the seventh kind and of
the eighth kind, Journal of Computational Analysis and Applications 22:5 (2017) 812824.

Publications 2016 

325. T. Mansour and A.Sh. Shabani , Counting occurrences of a pattern of length three with at
most two distinct letters in a kary word, Journal of Automata, Languages and Combinatorics
21:3 (2016) 183201.

324. T. Mansour and M. Schork, Wilf classification of subsets of eight and nine
fourletter patterns, Journal of Combinatorics and Number Theory 8:3 (2016) 27pp.

323. T. Mansour and M. Shattuck, Counting subwords in flattened involutions and Kummer
functions, Journal Difference Equations and Applications 22:10 (2016) 14041425.

322. O. Herscovici and T. Mansour, The Mikitype identity for the ApostolBernoulli
numbers, Annales Mathematicae et Informaticae 46 (2016) 97114.

321. O. Herscovici, T. Kim, T. Mansour and S.H. Rim, Differential equations for p,qTouchard polynomials, Open Mathematics 14 (2016) 908912.

320. T. Mansour and M. Shattuck, Some monotonicity results related to the Fermat point of a triangle, Forum Geometricorum 16 (2016) 355366.

319. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Nonlinear differential
equation for Korobov numbers, Advanced Studies in Contemporary Mathematics 26:4 (2016) 733740.

318. A. Blecher and T. Mansour, Counting staircases in integer compositions, Online Analytical Journal of Combinatorics 11 (2016) #7 (10pp.).

317. D. Callan, S.M. Ma and T. Mansour, Restricted Stirling permutations, Taiwanese Journal of Mathematics 20:5 (2016) 957978.

316. M. Archibald, A. Blecher, C. Brennan, A. Knopfmacher and T. Mansour, Partitions according
to multiplicities and part sizes, Australasian Journal of Combinatorics 66(1) (2016) 104119.

315. F. Caravelli, T. Mansour, L. Sindoni, S. Severini, On moments of the integrated exponential
Brownian motion, The European Physical Journal Plus 131 (2016) Article 245, 10pp.

314. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Korobov polynomials of the fifth kind and of the sixth kind, Kyungpook Mathematical Journal 56:2 (2016) 329342.

313. T. Mansour and M. Schork, Wilf classification of subsets of four letter patterns,
Journal of Combinatorics and Number Theory 8:1 (2016) 1111.

312. T. Mansour and M. Shattuck, A statistic related to trees and words on a finite
alphabet, Discrete Mathematics, Algorithms and Applications 8:2 (2016) 1650031, 13 Pages.

311. D.S. Kim, T. Kim and T. Mansour, Fully degenerate polyBernoulli polynomials with a q parameter, FILOMAT 30:4 (2016) 10291035.

310. J.L. Gross, T. Mansour, T.W. Tucker and D.G.L. Wang, Root geometry of polynomial sequences II: Type (1,0), Journal of Mathematical Analysis and Applications 441:2 (2016) 499528.

309. S.M. Ma and T. Mansour, Pattern restricted Stirling kary words, plateau statistic, and kernel method, Discrete Applied Mathematics 206 (2016) 100108.

308. T. Mansour and M. Shattuck, Set partitions and $m$excedances, Notes on Number Theory and Discrete Mathematics 22:1 (2016) 4254.

307. D.S. Kim, T. Kim, T. Mansour and J.J. Seo, Linear differential equations for families
of polynomials, Journal of Inequalities and Applications 2016 (2016) Article 95, 8pp.

306. T. Mansour, M.A. Rostami, E. Suresh and G.B.A. Xavier, New sharp lower bounds for the first Zagreb index, Scientific Publications of the State University of Novi Pazar, Series A 8:1 (2016) 1119.

305. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Powers under umbral composition and degeneration for Sheffer sequences, Advances in Difference Equations 2016 (2016) Article 66.

304. T. Mansour and M. Shork, On a combinatorial problem in botanical epidemiology, Discrete Applied Mathematics 202 (2016) 131–150.

303. T. Mansour, M.A. Rostami, E. Suresh and G.B.A. Xavier, On the bounds of the first reformulated Zagreb index, Turkish Journal of Analysis and Number Theory 4:1 (2016) 815.

302. A. Blecher, C. Brennan, A. Knopfmacher and T. Mansour , Counting corners in partitions, The Ramanujan Journal 39:1 (2016) 201224.

301. T. Mansour and M. Shattuck, Counting permutations by the number of successions within cycles, Discrete Mathematics 339 (2016) 13681376.

300. J.L. Gross, T. Mansour, T.W. Tucker and David G.L. Wang, Iterated Claws Have RealRooted Genus Polynomials, Ars Mathematica Contemporanea 10 (2016) 255268.

299. D.S. Kim, T. Kim, T. Mansour and J.J. Seo,
Degenerate MittagLeffler polynomials, Applied Mathematics and Computation 274 (2016) 258266.

298. D.V. Dolgy, D.S. Kim, T. Kim and T. Mansour, Degenerate PolyBernoulli polynomials
of the second kind, Journal of Computational Analysis and Applications 21:5 (2016) 954966.

297. J.L. Gross, T. Mansour, T.W. Tucker and David G.L. Wang, Combinatorial Conjectures that imply local logconcavity of graph genus distributions, European Journal of Combinatorics 52 (2016) 207222.

296. J.L. Gross, T. Mansour, T.W. Tucker and David G.L. Wang, Root geometry of polynomial sequences I: Type (0,1), Journal of Mathematical Analysis and Applications 433 (2016) 12611289.

Publications 2015 

295. T. Mansour and M. Shattuck, M. Shattuck, Pattern avoidance in inversion sequences, Pure Mathematics and Applications 25:2 (2015) 157176.

294. D. Callan, T. Mansour and M. Shattuck, Some identities for derangement and Ward
number sequences and related bijections, Pure Mathematics and Applications 25:2 (2015) 132143.

293. T. Mansour and M. Schork, On some qPascal's like triangles, Notes on Number Theory and Discrete Mathematics 21:4 (2015) 6469.

292. Y. Chen, J.L. Gross and T. Mansour, Logconcavity of genus distributions for circular ladders,
Mathematische Nachrichten 288:1718 (2015) 19521969.

291. A. Blecher, T. Mansour and A.O. Munagi, Some Parity statistics in integer partitions, Bulletin of the Polish Academy of Sciences Mathematics 63:2 (2015) 123140.

290. W. Asakly and T. Mansour, Enumeration rises according to parity in compositions, Online Journal of Analytical Combinatorics 10 (2015), Article 5.

289. J.L. Gross, T. Mansour, T.W. Tucker and David G.L. Wang, LogConcavity of the Genus Polynomials of
Ringel Ladders, Electronic Journal of Graph Theory and Applications 3:2 (2015) 109126.

288. E. Bagno, D. Garber, T. Mansour and R. Shwartz, Recursions for the flagexcedance number in colored permutation groups, Pure Mathematics and Applications 25:1 (2015) 118.

287. T. Mansour, qStern Polynomials as Numerators of Continued Fractions, Bulletin of the Polish Academy of Sciences Mathematics 63:1 (2015) 1118.

286. T. Mansour and M. Shattuck, On avoidance of patterns of the form $\sigma\tau$ by words over a finite alphabet, Discrete Mathematics and Theoretical Computer Science 17:2 (2015) 181202.

285. E. MphakoBanda and T. Mansour, Defect polynomials and Tutte polynomials of some asymmetric graphs, Turkish Journal of Mathematics 39 (2015) 706718.

284. D.V. Dolgy, D.S. Kim, T. Kim, T. Mansour, Degenerate PolyCauchy polynomials, Applied Mathematics and Computation 269 (2015) 637646.

283. T. Mansour and M. Shattuck, Generalized qCalkinWilf trees and chyper mexpansions of an integer, Journal of Combinatorics and Number Theory 7:1 (2015) 12pp.

282. T. Mansour and M. Schork, On qdeformed generalized Touchard polynomials, Indagationes Mathematicae 26 (2015) 634645.

281. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Degenerate polyBernoulli polynomials with umbral calculus viewpoint, Journal of Inequalities and Applications 2015 (2015) Article 228.

280. J.S. Dowker and T. Mansour, Evaluation of spherical GJMS determinants, Journal of Geometry and Physics 97 (2015) 5160.

279. Y.K. Cho, T. Kim, T. Mansour and S.H. Rim, On a (r,s)analogue of Changhee and Daehee numbers and polynomials, Kyungpook Mathematical Journal 55 (2015) 225232.

278. J.L. Gross, T. Mansour, T.W. Tucker and David G.L. Wang, LogConcavity of combinations of sequences and applications to Genus distributions, SIAM Discrete Mathematics 29:2 (2015) 10021029.

277. T. Mansour, M. Shattuck and S. Wagner, Counting subwords in flattened partitions of sets, Discrete Mathematics 338:11 (2015) 19892005.

276. D. Callan, S.M. Ma and T. Mansour, Some combinatorial arrays related to the LotkaVolterra system, Electronic Journal of Combinatorics 22:2 (2015) Article 2.22.

275. D.V. Dolgy, D.S Kim, T. Kim and T. Mansour, Barnestype Daehee with $\lambda$parameter and degenerate Euler mixedtype polynomials, Journal of Inequalities and Applications 2015 (2015), Article 154.

274. T. Mansour and M. Shattuck, Ascent sequences and Fibonacci numbers, FILOMAT 29:4 (2015) 703712.

273. D.V. Dolgy, D.S. Kim, T. Kim and T. Mansour, Barnestype degenerate Euler polynomials, Applied Mathematics and Computation 261 (2015) 388–396.

272. S.M. Ma and T. Mansour, The 1/kEulerian polynomials and kStirling permutations, Discrete Mathematics 338:8 (2015) 14681472.

271. D.V. Dolgy, D.S. Kim, T. Kim and T. Mansour, On PolyBernoulli polynomials of the second kind with umbral calculus viewpoint, Advances in Difference Equations 2015 (2015) Article 27 (13pp).

270. C.O. Chow and T. Mansour, On the realrootedness of generalized Touchard polynomials, Applied Mathematics and Computations 254 (2015) 204209.

269. V. Krasniqi and T. Mansour, qBernstein functions and applications, Advanced Studies in Contemporary Mathematics 25:1 (2015) 7583.

268. O. Herscovici and T. Mansour, Identities involving Touchard polynomials derived from umbral calculus, Advanced Studies in Contemporary Mathematics 25:1 (2015) 3946.

267. T. Mansour and David G.L. Wang, On the 132 patterns in flattened permutations, Journal of Difference Equations and Applications 21:1 (2015) 1636.

266. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Barnestype Narumi of the second kind and PoissonCharlier mixedtype polynomials,
Journal of Computational Analysis and Applications 19:5 (2015) 837850.

265. T. Mansour and M. Shattuck, Some results on the avoidance of vincular patterns by multisets, Discrete Applied Mathematics 181 (2015) 201208.

264. Y.K. Cho, T. Kim, T. Mansour, and S.H. Rim, HigherOrder qDaehee Polynomials, Journal of Computational Analysis and Applications 19:1 (2015) 167173.

263. J.H. Jin, T. Mansour, E.J. Moon, J.W. Park, On the (r,q)Bernoullivand (r,q)Euler numbers and polynomials, Journal of Computational Analysis and Applications 19:2 (2015) 250259.

Publications 2014 

262. J.L. Baril, T. Mansour and A. Petrossian, Equivalence classes of permutations modulo excedances, Journal of Combinatorics 5:4 (2014) 453469.

261. C.O. Chow, S.M. Ma, T. Mansour and M. Shattuck, Counting permutations by cyclic peaks and valleys, Annales Mathematicae et Informaticae 43 (2014) 43–54.

260. T. Kim and T. Mansour, Umbral calculus associated with Frobeniustype Eulerian polynomials, Russian Journal of Mathematical Physics 21:4 (2014) 484493.

259. D.S. Kim, T. Kim and T. Mansour, Euler basis and the product of several Bernoulli and Euler polynomials, Advanced Studies in Contemporary Mathematics 24:4 (2014) 535547.

258. D.S. Kim, T. Kim, H.I. Kwon and T. Mansour, Barnestype Narumi of the first kind and polyCauchy of the first kind mixedtype polynomials,
Advanced Studies in Theoretical Physics 8:22 (2014) 961975.

257. T. Mansour and M. Shattuck, Chebyshev polynomials and statistics on a new collection of words in the Catalan family, Journal of Difference Equations and Applications 20:11 (2014) 1568–1582.

256. D. Callan, T. Mansour and M. Shattuck, Restricted ascent sequences and Catalan numbers, Applicable Analysis and Discrete Mathematics 8 (2014) 288303.

255. D.S. Kim, T. Kim, H.I. Kwon, T. Mansour and J. Seo, Barnestype Peters polynomial with umbral calculus viewpoint, Journal of Inequalities and Applications 2014 (2014):324 (16pp.).

254. J.L. Gross, T. Mansour and T.W. Tucker, LogConcavity of the Genus Polynomials for a Sequence of Cubic Halin Graphs, Journal of Combinatorics 5:2 (2014) 203233.

253. W.S. Chung, T. Kim and T. Mansour, The qdeformed Gamma function and qdeformed polygamma function, Bulletin of the Korean Mathematical Society 51:4 (2014) 11551161.

252. T. Mansour and M. Shattuck, Counting pairs of words according to the number of common rises, levels, and descents, Online Journal of Analytic Combinatorics 9 (2014) Article 4, 18pp.

251. T. Mansour and A. Munagi, Set partitions with circular successions, European Journal of Combinatorics 42 (2014) 207216.

250. T. Mansour and M. Shattuck, On a recurrence related to 321avoiding permutations, Notes on Number Theory and Discrete Mathematics 20:2 (2014) 7478.

249. J.L. Gross, T. Mansour and T.W. Tucker, Logconcavity of genus distributions of ringlike families of graphs, European Journal of Combinatorics 42 (2014) 7491.

248. E. Hatir , T. Mansour and I. Yalcinkaya, On a fuzzy difference equation, Utilitas Mathematica 93 (2014) 135151.

247. S.M. Ma, T. Mansour and M. Schork, Normal ordering problem and the extensions of the Stirling grammar, Russian Journal of Mathematical Physics 21:2 (2014) 242255.

246. A. Asinowski, G. Barequet, T. Mansour and R. Pinter, Cut Equivalence of dDimensional Guillotine Partitions, Discrete Mathematics 331 (2014) 165174.

245. T. Mansour and M. Shattuck, A statistic on ncolor compositions and related sequences, Proceedings Mathematical Sciences 124:2 (2014) 127140.

244. T. Mansour, M. Shattuck and M.C. Wilson, Congruence successions in compositions, Discrete Mathematics and Theoretical Computer Science 16:2 (2014) 327338.

243. T. Mansour, H. Ozden and Y. Simsek, Modified Apostoltype polynomials arising from umbral calculus, Advanced Studies in Contemporary Mathematics 24:2 (2014) 175182.

242. T. Kim, S.H. Lee, T. Mansour and J.J. Seo, A note on qDaehee polynomials and numbers, Advanced Studies in Contemporary Mathematics 24:2 (2014) 155160.

241. E. Bagno, D. Garber and T. Mansour, On the group of alternating colored permutations, Electronic Journal of Combinatorics 21(2) (2014) #P2.29.

240. T. Mansour and M. Shattuck, On the zeros of some combinatorial polynomials, Pure Mathematics and Applications 24:1 (2013) 3145.

239. W. Asakly, A. Blecher, C. Brennan, A. Knopfmacher, T. Mansour and S. Wagner, Set partition asymptotics and a conjecture of Gould and Quaintance, Journal of Mathematical Analysis and Applications 416 (2014) 672682.

238. W. Asakly and T. Mansour, Enumeration of compositions according to the sum of the values of the first letters of
the occurrences of a $2$letter pattern, Linear Algebera and its Application 449 (2014) 4359.

237. T. Mansour and M. Shattuck, A qanalog of the hyperharmonic numbers, Afrika Mathematica 25 (2014) 147160.

236. T. Kim, T. Mansour, S.H. Rim and J.J. Seo, A note on qChanghee polynomials and numbers, Advanced Studies in Theoretical Physics 8:1 (2014) 3541.

235. C. Banerji, T. Mansour and S. Severini, A notion of graph likelihood and an infinite monkey theorem, Journal of Physics A: Mathematical and Theoretical 47:3 (2014) Article 035101.

234. T. Mansour and M. Shattuck, Some enumerative results related to ascent sequences, Discrete Mathematics 315316 (2014) 2941.

233. T. Mansour, M. Shattuck and G. Wang, Recurrence relations for patterns of type (2,1) in flattened permutations, Journal of Difference Equations and Applications 20:1 (2014) 5883.

Publications 2013 

232. T. Mansour and M. Shattuck, Monotonicity properties concerning certain lengths within a triangle, Journal of Advanced Mathematics and Applications 2:1 (2013) 5964.

231. C. Cinar, T. Mansour, and I. Yalcinkaya, On the difference equation of higher order, Utilitas Mathematica 92 (2013) 161166.

230. T. Kim, T. Mansour, S.H. Rim and S.H. Lee, ApsotolEuler polynomials arising from umbral calculus, Advances in Difference equations 2013 (2013):301 (7pp.).

229. C. Brennan, E. MphakoBanda and T. Mansour, Tutte polynomials of wheels via generating functions, Bulletin of the Iranian Mathematical Society 39:5 (2013) 881891.

228. N.L. Braha and T. Mansour, On $\Lambda^{2}$strong convergence of numerical sequences and Fourier series, Acta Mathematica Hungarica 141(12) (2013) 113126.

227. A. Blecher, C. Brennan and T. Mansour, Compositions of n as nonalternating sequences of partitions, Applicable Analysis and Discrete Mathematics 7 (2013) 211224.

226. T. Mansour and M. Shattuck, Parity successions in set partitions, Linear Algebra and its Applications 439:9 (2013) 26422650.

225. T. Mansour, M. Shattuck and G. Wang, Counting subwords in flattened permutations, Journal of Combinatorics 4:3 (2013) 327356.

224. T. Kim, D.S. Kim, T. Mansour, S.H. Rim, and M. Schork, Umbral calculus and Sheffer sequences of polynomials, Journal of Mathematical Physics 54 (2013) 083504, 15pp.

223. Y. Chen, J.L. Gross and T. Mansour, Total embedding distributions of circular ladders, Journal Graph Theory 73:2 (2013) 3257.

222. T. Mansour and M. Shattuck, Generalization of a statistic on linear domino arrangements, Online Journal of Analytic Combinatorics 8 (2013) Article 2 (16pp.).

221. T. Mansour and M. Shattuck, Free rises, restricted partitions, qFibonacci polynomials, Afrika Mathematica 24:3 (2013) 305320.

220. T. Mansour, M. Shattuck and C. Song, A qanalog of a general rational sum identity, Afrika Mathematica 24:3 (2013) 297303.

219. T. Mansour and V. Vajnovszki, Efficient generation of restricted growth words, Information Processing Letters 113:17 (2013) 613616.

218. T. Mansour and M. Shattuck, Counting Humps and Peaks in Generalized Motzkin Paths, Discrete Applied Mathematics 161 (2013) 22132216.

217. T. Mansour and M. Shattuck, A combinatorial approach to a general twoterm recurrence, Discrete Applied Mathematics 161 (2013) 20842094.

216. A. Asinowski, G. Barequet, M. BousquetM\'elou, T. Mansour, and R.Y. Pinter, Orders induced by segments in floorplan
partitions and (2143, 3412)avoiding permutations, Electronic Journal of Combinatorics 20:2 (2013) #P35 (43pp.)

215. T. Mansour and M. Schork, The generalized Touchard polynomials revisited, Applied Mathematics and Computation 219:19 (2013) 99789991.

214. Y. Chen, T. Mansour, and Q. Zou, Embedding distributions of generalized fan graphs, Canadian Mathematical Bulletin 56 (2013) 265271.

213. T. Mansour and M. Shattuck, Polynomials whose coefficients are generalized Tribonacci numbers, Applied Mathematics and Computation 219 (2013) 83668374.

212. T. Mansour and M. Shattuck, Partial matchings and pattern avoidance, Applicable Analysis and Discrete Mathematics 7 (2013) 2550.

211. W. Asakly, T. Mansour and M. Schork, Representing elements of the Weyl algebra by labeled trees, Journal of Mathematical Physics 54:2 (2013) 023514 (17pp.).

Publications 2012 

210. V. Jelinek, T. Mansour and M. Shattuck, On multiple pattern avoiding set partitions, Advances in Applied Mathematics 50 (2012) 292326.

209. T. Mansour and M. Schork, Generalized Bell numbers and algebraic differential equations, Pure Mathematics and Applications 23 (2012) 131142.

208. T. Mansour and M. Shattuck, Generalizations of two statistics on linear tilings, Applications and Applied Mathematics: An International Journal 7:2 (2012) 508533.

207. T. Mansour and M. Shattuck, Polynomials whose coefficients are kFibonacci numbers, Annales Mathematicae et Informaticae 40 (2012) 5776.

206. T. Mansour, M. Shattuck and C. Song, Enumerating set partitions according to the number of descents of size d or more,
Proceedings Mathematical Sciences 122:4 (2012) 507517.

205. A. Knopfmacher and T. Mansour, Upsmooth samples of geometric variables, Journal of Combinatorial Mathematics and Combinatorial Computing 83 (2012) 5163.

204. C.O. Chow and T. Mansour, Asymptotic probability distributions of some permutation statistics for the wreath product C_{r}~ S_{n}, Online Analytic Journal of Combinatorics 7 (2012) Article #2 (14pp.).

203. T. Mansour and A. Sh. Shabani, Generalization of some inequalities for the (q_{1},...,q_{s})Gamma function, Le Matematiche LXVII (2012) 119130.

202. T. Mansour, M. Schork and M. Shattuck, The generalized Stirling and Bell numbers revisited, Journal of Integer Sequences 15 (2012) Article 12.8.3 (pp. 47).

201. T. Mansour and A. Munagi, Alternating Subsets Modulo m, Rocky Mountain Journal of Mathematics 42:4 (2012) 13131325.

200. Y. Chen, T. Mansour and Q. Zou, Embedding distributions and Chebyshev polynomials, Graphs and Combinatorics 28 (2012) 597614.

199. T. Mansour, Identities on harmonic and qharmonic number sums, Afrika Mathematica 23 (2012) 135143.

198. T. Mansour and M. Shattuck, Improving upon a geometric inequality of third order, DForum Geometricorum 12 (2012) 227235.

197. Y. Chen, J.L. Gross and T. Mansour, Genus distributions of starladders, Discrete Mathematics 312 (2012) 30593067.

196. T. Mansour, M. Schork and M. Shattuck, On the Stirling numbers associated with the meromorphic Weyl algebra, Applied Mathematics Letters 25 (2012) 17671771.

195. T. Mansour, M. Schork and M. Shattuck, Catalan numbers and pattern restricted set partitions, Discrete Mathematics 312 (2012) 29792991.

194. T. Mansour, M. Shattuck and C. Song, qAnalogs of identities involving harmonic numbers and binomial coefficients, Applications and Applied Mathematics: An International Journal 7:1 (2012) 2236.

193. T. Mansour and M. Shattuck, Set partitions as geometric words, Australasian Journal of Combinatorics 53 (2012) 3139.

192. Y.C. Chen, T. Mansour and Q. Zou, On the complete monotonicity of quotient of Gamma functions, Mathematical Inequalities & Applications 15:2 (2012) 395402.

191. M. Archibald, A. Knopfmacher and T. Mansour, Variation statistics on compositions, Fundamenta Informaticae 16 (2012) 117.

190. S.P. Jordan, T. Mansour and S. Seveini, On the degeneracy of SU(3)_{k} topological phases, Russian Journal of Mathematical Physics 19:1 (2012) 2126.

189. T. Mansour and M. Shattuck, Avoiding type (1,2) or (2,1) patterns in a partition of a set, Integers: Electronic Journal of Combinatorial Number Theory 12 (2012) #A20.

188 T. Mansour and M. Shattuck, Pattern avoiding set partitions and Catalan numbers, Electronic Journal of Combinatorics 18(2) (2012), #P34 (18pp.).

187. A. Knopfmacher and T. Mansour, Record statistics in a random composition, Discrete Applied Mathematics 160 (2012) 593603.

186. T. Mansour and M. Shattuck, A combinatorial proof of a result for permutation pairs, Central European Journal of Mathematics 10(2) (2012) 797806.

185. A. Blecher, C. Brennan and T. Mansour, Compositions of n as alternating sequences of weakly increasing and strictly decreasing partitions, Central European Journal of Mathematics 10(2) (2012) 788796.

184. T. Mansour and M. Shattuck, Counting Dyck paths according to the maximum distance between peaks and valley, Journal of Integer Sequences 15 (2012) Article 12.1.1 (9pp.).

183. T. Mansour and C. Song, The a and (a, b)analogs of Zagreb indices and coindices of graphs, International Journal of Combinatorics 2012 (2012) Article 909285 (10pp.).

182. T. Mansour, S. Mulay and M. Shattuck, A general twoterm recurrence and its solution, European Journal of Combinatorics 33 (2012) 2026.

Publications 2011 

181. T. Mansour and M. Shattuck, Enumerating finite set partitions according to the number of connectors, Online Journal of Analytic Combinatorics 6 (2011) Article #3(17pp.).

180. T. Mansour and M. Shattuck, Restricted partitions and generalized Catalan numbers, Pure Mathematics and Applications: Algebra and Theoretical Computer Science 11:2 (2011) 239251.

179. A. Knopfmacher, T. Mansour and A. Munagi, Smooth compositions and smooth words, Pure Mathematics and Applications: Algebra and Theoretical Computer Science 11:2 (2011) 209226.

178. T. Mansour and M. Shattuck, Two further generalizations of the CalkinWilf tree, Journal of Combinatorics 2:4 (2011) 507524.

177. T. Mansour and M. Shattuck, Pattern avoidance in flattened permutations, Pure Mathematics and Applications 22:1 (2011) 7586.

176. T. Mansour and M. Shattuck, Pattern avoiding partitions, sequence A054391, and the kernel method, Applications and Applied Mathematics: An International Journal 06:12 (2011) 397411.

175. T. Mansour and M. Shattuck, A recurrence related to the Bell numbers, Integers: Electronic Journal of Combinatorial Number Theory 11 (2011) Article A67 (pp. 11).

174. J. Lindsay, T. Mansour and M. Shattuck, A new combinatorial interpretation of a qanalogue of the Lah numbers, Journal of Combinatorics 2:2 (2011) 245264.

173. G.S. Cheon and T. Mansour<, Rational combinations for the sums involving inverse binomial coefficients, Applied Mathematics and Computation 18 (2011) 26412646.

172. C. Brennan, A. Knopfmacher, T. Mansour and S. Wagner, Separation of the maxima in samples of geometric random variables, Applicable Analysis and Discrete Mathematics 5 (2011) 271282.

171. T. Mansour and M. Shattuck, On a certain cubic geometric inequality, Forum Geometricorum 11 (2011) 175181.

170. X. Cai and T. Mansour, Bilinear forms on skein modules and steps in Dyck paths, Journal of Mathematical Physics (2011) 073509, (15pp.).

169. T. Mansour and M. Shattuck, Pattern avoiding partitions and Motzkin left factors, Central European Journal of Mathematics 9(5) (2011) 11211134.

168. T. Mansour and M. Schork, The commutation relation xy=qyx+hf(y) and Newton's binomial formula, The Ramanujan Journal 25 (2011) 405445.

167. V. Krasniqi, T. Mansour and A. Sh. Shabani, On some Feng Qi type qintegral inequalities, Acta Universitatis Apulensis 27 (2011) 109114.

166. R. Freji and T. Mansour, Packing a binary pattern in compositions, Journal of Combinatorics 2:1 (2011) 113137.

165. T. Mansour, Adjoint polynomials of bridgepath and bridgecycle graphs and Chebyshev polynomials, Discrete Mathematics 311 (2011) 17781785.

164. C.O. Chow and T. Mansour, A Carlitz identity for the wreath product C_{r}~S_{n}, Advances in Applied Mathematics 47 (2010) 199215.

163. J. Hatzl, T. Mansour and M. Shattuck, Maximizing the total error of image segmentation algorithms, Journal of Mathematical Modelling and Algorithms 10 (2011) 193203.

162. G. Gutin, T. Mansour and S. Severini, A characterization of horizontal visibility graphs and combinatorics on words, Physica A: Statistical Mechanics and its Applications 390 (2011) 24212428.

161. T. Mansour, M. Schork and M. Shattuck, On a new family of generalized Stirling and Bell numbers, Electronic Journal of Combinatorics 18 (2011) #P77 (33pp.).

160. T. Mansour, A. Munagi and M. Shattuck, Recurrence relations and twodimensional set partitions, Journal of Integer Sequences 14 (2011) Article 11.4.1, (17pp.).

159. G. Bevilacqua, V. Biancalana, Y. Dancheva, L. Moi and T. Mansour, A new class of sum rules for products of Bessel functions, Journal of Mathematical Physics 52 (2011) 033508 (9pp.).

158. T. Mansour, G. Nassar and V. Vajnovszki, Loopfree Gray code algorithm for the erestricted growth functions, Information Processing Letters 111 (2011) 541544.

157. T. Mansour and M. Shattuck, Restricted partitions and qPell numbers, Central European Journal of Mathematics 9(2) (2011) 346355.

156. B. Bates and T. Mansour, The qCalkinWilf Tree, Journal of Combinatorial Theory, Series A 118 (2011) 11431151.

155. T. Mansour, Protected points in kary trees, Applied Mathematics Letters 24 (2011) 478480.

154. M. Falah and T. Mansour, Ascents of size d or less in compositions, Central European Journal of Mathematics 9(1) (2011) 196203.

Publications 2010 

153. Q.H. Hou and T. Mansour, Kernel method and systems of functional equations with several conditions, Journal Computational and Applied Mathematics 235:5 (2010) 12051212.

152. T. Mansour and Y. Sun, Statistics on permutations, Online Journal of Analytic Combinatorics 5 (2011) Article 5 (15pp.).

151. V. Krasniqi, T. Mansour, and A. Sh. Shabani, Some inequalities for qpolygamma function and zeta_{q}Riemann zeta functions, Annales Mathematicae et Informaticae 37 (2010) 95100.

150. V. Krasniqi, T. Mansour, and A. Sh. Shabani, Some monotonicity properties and inequalities for Gamma and zetafunctions, Mathematical Communications 15:2 (2010) 365376.

149. V. Jelinek and T. Mansour, Matchings and Partial Patterns, Electronic Journal of Combinatorics 17(1) (2010) #R158, (30pp.).

148. T. Mansour and G. Nassar, A loopfree Gray code algorithm for the set of compositions, Journal of Mathematical Modelling and Algorithms 9 (2010) 343356.

147. C.O. Chow and T. Mansour, Counting derangements, involutions and unimodal elements in the wreath product C_{r}~S_{n}, Israel Journal of Mathematics 179 (2010) 425448.

146. T. Mansour, M. Shattuck, and S. Wagner, Enumerating set partitions by the number of positions between adjacent occurrences of a letter, Applicable Analysis and Discrete Mathematics 4.2 (2010) 284308.

145. A. Knopfmacher, T. Mansour, and S. Wagner, Records in set partitions, Electronic Journal of Combinatorics 17 (2010) #R109 (14pp.).

144. T. Mansour and M. Shattuck, Counting peaks and valleys in a partition of a set, Journal of Integer Sequences 13 (2010) Article 10.6.8 (17pp.).

143. N.Y. Li, T. Mansour and A.O. Munagi, Plane trees and reduction rules, Utilitas Mathematica 81 (2010) 215230.

142. T. Mansour and Sherry H.F. Yan, Minimal permutations with d descents, European Journal of combinatorics 31 (2010) 14451460.

141. T. Mansour and M. Schork, On linear differential equations with variable coefficients involving a paraGrassmann variable, Journal of Mathematical Physics 51, 043512 (2010), (21pp.).

140. A. Knopfmacher, T. Mansour, A. Munagi, and H. Prodinger, Staircase words and Chebyshev polynomials, Applicable Analysis and Discrete Mathematics 4 (2010) 8195.

139. T. Mansour and M. Schork, The PI index of polyomino chains of 4kcycles, Acta Applicandae Mathematicae 109 (2010) 671–681.

138. T. Mansour and A. Munagi, Blockconnected set partitions, European Journal of Combinatorics 31 (2010) 887902.

137. S. Iguri and T. Mansour, Some recursive formulas for Selbergtype integrals, Journal of Physics A: Mathematical and Theoretical 43 (2010) 065201 (11pp.).

136. A. Asinowski and T. Mansour, Separable dpermutations and Guillotine partitions, Annals of Combinatorics 14 (2010) 1743.

135. T. Mansour, M. Shattuck, and Sherry H.F. Yan, Counting subwords in a partition of a set, Electronic Journal of Combinatorics 17 (2010) #R19 (21pp.).

134. T. Mansour and M. Schrok, Wiener, hyperWiener, detour and hyperdetour indices of bridge and chain graphs, Journal of Mathematical Chemistry 47 (2010) 7298.

133. B. S. ElDesouky, N. P. Cakic, and T. Mansour, Modified approach to generalized Stirling numbers via differential operators, Letters Applied Mathematics 23:1 (2010) 115120.

132. T. Mansour, Smooth partitions and Chebyshev polynomials, Bulletin of the London Mathematical Society 41 (2010) 961970.
