Bugajewski, Dariusz; Bugajewski, Dawid; Gan, Xiao-Xiong; Maćkowiak, Piotr On the recursive and explicit form of the general J.C.P. Miller formula with applications. (English) Zbl 07822017 Adv. Appl. Math. 156, Article ID 102688, 21 p. (2024). MSC: 05A10 13F25 13J05 15A15 15B05 40A30 PDFBibTeX XMLCite \textit{D. Bugajewski} et al., Adv. Appl. Math. 156, Article ID 102688, 21 p. (2024; Zbl 07822017) Full Text: DOI arXiv
Maier, Robert S. Boson operator ordering identities from generalized Stirling and Eulerian numbers. (English) Zbl 07822015 Adv. Appl. Math. 156, Article ID 102678, 34 p. (2024). MSC: 11B73 11B37 05A10 05A15 81R05 PDFBibTeX XMLCite \textit{R. S. Maier}, Adv. Appl. Math. 156, Article ID 102678, 34 p. (2024; Zbl 07822015) Full Text: DOI arXiv
Xu, Ce; Zhao, Jianqiang Apéry-type series and colored multiple zeta values. (English) Zbl 07796431 Adv. Appl. Math. 153, Article ID 102610, 46 p. (2024). Reviewer: Sami Omar (Sukhair) MSC: 11M32 11B65 42C10 PDFBibTeX XMLCite \textit{C. Xu} and \textit{J. Zhao}, Adv. Appl. Math. 153, Article ID 102610, 46 p. (2024; Zbl 07796431) Full Text: DOI arXiv
Wang, Rong-Hua; Zhong, Michael X. X. Polynomial reduction for holonomic sequences and applications in \(\pi\)-series and congruences. (English) Zbl 1525.11028 Adv. Appl. Math. 150, Article ID 102568, 17 p. (2023). Reviewer: Christoph Koutschan (Linz) MSC: 11B83 11B65 33F10 05A19 05A10 PDFBibTeX XMLCite \textit{R.-H. Wang} and \textit{M. X. X. Zhong}, Adv. Appl. Math. 150, Article ID 102568, 17 p. (2023; Zbl 1525.11028) Full Text: DOI arXiv
Barnabei, Marilena; Bonetti, Flavio; Castronuovo, Niccolò; Silimbani, Matteo Maxima and visibility in involutions. (English) Zbl 1517.05004 Adv. Appl. Math. 149, Article ID 102552, 22 p. (2023). MSC: 05A05 05A15 05A10 PDFBibTeX XMLCite \textit{M. Barnabei} et al., Adv. Appl. Math. 149, Article ID 102552, 22 p. (2023; Zbl 1517.05004) Full Text: DOI
Lima, Hélder Multiple orthogonal polynomials associated with branched continued fractions for ratios of hypergeometric series. (English) Zbl 1522.11075 Adv. Appl. Math. 147, Article ID 102505, 63 p. (2023). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J70 33C45 42C05 05A10 15B99 30B70 30E05 33C20 PDFBibTeX XMLCite \textit{H. Lima}, Adv. Appl. Math. 147, Article ID 102505, 63 p. (2023; Zbl 1522.11075) Full Text: DOI arXiv
Maier, Robert S. Triangular recurrences, generalized Eulerian numbers, and related number triangles. (English) Zbl 1509.05015 Adv. Appl. Math. 146, Article ID 102485, 62 p. (2023). MSC: 05A10 05A15 39A06 39A14 11B68 PDFBibTeX XMLCite \textit{R. S. Maier}, Adv. Appl. Math. 146, Article ID 102485, 62 p. (2023; Zbl 1509.05015) Full Text: DOI arXiv
Henningsen, Joel A.; Straub, Armin Generalized Lucas congruences and linear \(p\)-schemes. (English) Zbl 1505.11007 Adv. Appl. Math. 141, Article ID 102409, 20 p. (2022). Reviewer: Zhihong Sun (Huaian) MSC: 11A07 11B65 11B83 PDFBibTeX XMLCite \textit{J. A. Henningsen} and \textit{A. Straub}, Adv. Appl. Math. 141, Article ID 102409, 20 p. (2022; Zbl 1505.11007) Full Text: DOI arXiv
Wang, Liuquan Sign changes of coefficients of powers of the infinite Borwein product. (English) Zbl 1523.11181 Adv. Appl. Math. 141, Article ID 102405, 31 p. (2022). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 11P55 11F03 11F30 26D15 26D20 PDFBibTeX XMLCite \textit{L. Wang}, Adv. Appl. Math. 141, Article ID 102405, 31 p. (2022; Zbl 1523.11181) Full Text: DOI arXiv
Wei, Chuanan \(q\)-supercongruences from gasper and Rahman’s summation formula. (English) Zbl 1515.11005 Adv. Appl. Math. 139, Article ID 102376, 17 p. (2022). MSC: 11A07 33D15 11B65 PDFBibTeX XMLCite \textit{C. Wei}, Adv. Appl. Math. 139, Article ID 102376, 17 p. (2022; Zbl 1515.11005) Full Text: DOI arXiv
Sokal, Alan D.; Zeng, Jiang Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions. (English) Zbl 1487.05032 Adv. Appl. Math. 138, Article ID 102341, 122 p. (2022). MSC: 05A19 05A05 05A10 05A15 05A18 05A30 30B70 33C45 33D45 11A55 PDFBibTeX XMLCite \textit{A. D. Sokal} and \textit{J. Zeng}, Adv. Appl. Math. 138, Article ID 102341, 122 p. (2022; Zbl 1487.05032) Full Text: DOI arXiv
Becher, Verónica; Cesaratto, Eda On the number of words with restrictions on the number of symbols. (English) Zbl 07483991 Adv. Appl. Math. 136, Article ID 102321, 20 p. (2022). MSC: 11B73 68R15 05A05 05A10 05A20 60C05 PDFBibTeX XMLCite \textit{V. Becher} and \textit{E. Cesaratto}, Adv. Appl. Math. 136, Article ID 102321, 20 p. (2022; Zbl 07483991) Full Text: DOI arXiv
Sun, Zhi-Wei On Motzkin numbers and central trinomial coefficients. (English) Zbl 1491.11028 Adv. Appl. Math. 136, Article ID 102319, 25 p. (2022). MSC: 11B65 05A10 05A19 11A07 11B75 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Adv. Appl. Math. 136, Article ID 102319, 25 p. (2022; Zbl 1491.11028) Full Text: DOI arXiv
Pan, Hao; Sun, Yu-Chen A \(q\)-analogue of Wilson’s congruence. (English) Zbl 1469.05018 Adv. Appl. Math. 130, Article ID 102228, 10 p. (2021). MSC: 05A30 05A05 05A10 11A07 PDFBibTeX XMLCite \textit{H. Pan} and \textit{Y.-C. Sun}, Adv. Appl. Math. 130, Article ID 102228, 10 p. (2021; Zbl 1469.05018) Full Text: DOI arXiv
Adeniran, Ayomikun; Yan, Catherine Gončarov polynomials in partition lattices and exponential families. (English) Zbl 1462.05013 Adv. Appl. Math. 126, Article ID 102045, 23 p. (2021). MSC: 05A15 05A10 05A18 06A07 PDFBibTeX XMLCite \textit{A. Adeniran} and \textit{C. Yan}, Adv. Appl. Math. 126, Article ID 102045, 23 p. (2021; Zbl 1462.05013) Full Text: DOI arXiv
Wang, Liuquan Arithmetic properties of odd ranks and \(k\)-marked odd Durfee symbols. (English) Zbl 1457.05011 Adv. Appl. Math. 121, Article ID 102098, 28 p. (2020). Reviewer: Mircea Merca (Cornu de Jos) MSC: 05A17 11P83 05A19 11B65 11P84 PDFBibTeX XMLCite \textit{L. Wang}, Adv. Appl. Math. 121, Article ID 102098, 28 p. (2020; Zbl 1457.05011) Full Text: DOI arXiv
Zhang, Helen W. J. \((q,c)\)-derivative operator and its applications. (English) Zbl 1456.05019 Adv. Appl. Math. 121, Article ID 102081, 23 p. (2020). MSC: 05A30 05A15 33D15 11B65 39A13 26A33 PDFBibTeX XMLCite \textit{H. W. J. Zhang}, Adv. Appl. Math. 121, Article ID 102081, 23 p. (2020; Zbl 1456.05019) Full Text: DOI
Guo, Victor J. W. \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping. (English) Zbl 1456.11024 Adv. Appl. Math. 120, Article ID 102078, 16 p. (2020). MSC: 11B65 11A07 05A30 33C20 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Adv. Appl. Math. 120, Article ID 102078, 16 p. (2020; Zbl 1456.11024) Full Text: DOI arXiv
Liu, Ji-Cai; Petrov, Fedor Congruences on sums of \(q\)-binomial coefficients. (English) Zbl 1468.11068 Adv. Appl. Math. 116, Article ID 102003, 11 p. (2020). MSC: 11B65 11A07 05A30 PDFBibTeX XMLCite \textit{J.-C. Liu} and \textit{F. Petrov}, Adv. Appl. Math. 116, Article ID 102003, 11 p. (2020; Zbl 1468.11068) Full Text: DOI arXiv
Hwang, Hsien-Kuei; Chern, Hua-Huai; Duh, Guan-Huei An asymptotic distribution theory for Eulerian recurrences with applications. (English) Zbl 1440.05026 Adv. Appl. Math. 112, Article ID 101960, 125 p. (2020). MSC: 05A15 05A05 05A10 05E16 11B83 30C10 30E15 60F05 PDFBibTeX XMLCite \textit{H.-K. Hwang} et al., Adv. Appl. Math. 112, Article ID 101960, 125 p. (2020; Zbl 1440.05026) Full Text: DOI arXiv
Lejeune, Marie; Rigo, Michel; Rosenfeld, Matthieu Templates for the \(k\)-binomial complexity of the Tribonacci word. (English) Zbl 1447.68013 Adv. Appl. Math. 112, Article ID 101947, 26 p. (2020). Reviewer: Panayiotis Vlamos (Kérkyra) MSC: 68R15 05A05 PDFBibTeX XMLCite \textit{M. Lejeune} et al., Adv. Appl. Math. 112, Article ID 101947, 26 p. (2020; Zbl 1447.68013) Full Text: DOI
Pan, Ran; Qiu, Dun; Remmel, Jeffrey Counting consecutive pattern matches in \(\mathcal{S}_n(132)\) and \(\mathcal{S}_n(123)\). (English) Zbl 1407.05008 Adv. Appl. Math. 105, 130-167 (2019). MSC: 05A05 05A10 05A15 05A19 PDFBibTeX XMLCite \textit{R. Pan} et al., Adv. Appl. Math. 105, 130--167 (2019; Zbl 1407.05008) Full Text: DOI arXiv
Krattenthaler, C.; Yaqubi, D. Some determinants of path generating functions. II. (English) Zbl 1397.05022 Adv. Appl. Math. 101, 232-265 (2018). MSC: 05A19 05A10 05A15 11C20 15A15 PDFBibTeX XMLCite \textit{C. Krattenthaler} and \textit{D. Yaqubi}, Adv. Appl. Math. 101, 232--265 (2018; Zbl 1397.05022) Full Text: DOI arXiv
Chan, Lax; Grimm, Uwe Spectrum of a Rudin-Shapiro-like sequence. (English) Zbl 1375.37035 Adv. Appl. Math. 87, 16-23 (2017). Reviewer: Michael Baake (Bielefeld) MSC: 37B10 42B05 52C23 PDFBibTeX XMLCite \textit{L. Chan} and \textit{U. Grimm}, Adv. Appl. Math. 87, 16--23 (2017; Zbl 1375.37035) Full Text: DOI arXiv
Chen, Zhi; Pan, Hao Identities involving weighted Catalan, Schröder and Motzkin paths. (English) Zbl 1358.05013 Adv. Appl. Math. 86, 81-98 (2017). MSC: 05A15 05A10 05A19 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{H. Pan}, Adv. Appl. Math. 86, 81--98 (2017; Zbl 1358.05013) Full Text: DOI arXiv
Cao, Jian Homogeneous \(q\)-partial difference equations and some applications. (English) Zbl 1392.11014 Adv. Appl. Math. 84, 47-72 (2017). MSC: 11B65 05A30 33D15 33D45 39A13 PDFBibTeX XMLCite \textit{J. Cao}, Adv. Appl. Math. 84, 47--72 (2017; Zbl 1392.11014) Full Text: DOI
Schlosser, Michael J.; Yoo, Meesue Elliptic extensions of the alpha-parameter model and the rook model for matchings. (English) Zbl 1352.05017 Adv. Appl. Math. 84, 8-33 (2017). MSC: 05A15 05A19 05A30 11B65 11B73 11B83 PDFBibTeX XMLCite \textit{M. J. Schlosser} and \textit{M. Yoo}, Adv. Appl. Math. 84, 8--33 (2017; Zbl 1352.05017) Full Text: DOI arXiv
Adamaszek, Michał; Adams, Henry; Motta, Francis Random cyclic dynamical systems. (English) Zbl 1379.37011 Adv. Appl. Math. 83, 1-23 (2017). MSC: 37A50 37C25 60C05 05E45 05A10 PDFBibTeX XMLCite \textit{M. Adamaszek} et al., Adv. Appl. Math. 83, 1--23 (2017; Zbl 1379.37011) Full Text: DOI arXiv
Mortenson, Eric T. A double-sum Kronecker-type identity. (English) Zbl 1414.11027 Adv. Appl. Math. 82, 155-177 (2017). MSC: 11B65 11F27 40A25 PDFBibTeX XMLCite \textit{E. T. Mortenson}, Adv. Appl. Math. 82, 155--177 (2017; Zbl 1414.11027) Full Text: DOI arXiv
Štampach, F. Nevanlinna extremal measures for polynomials related to \(q^{-1}\)-Fibonacci polynomials. (English) Zbl 1415.11035 Adv. Appl. Math. 78, 56-75 (2016). MSC: 11B39 11B65 33D15 33D45 30E05 05A30 PDFBibTeX XMLCite \textit{F. Štampach}, Adv. Appl. Math. 78, 56--75 (2016; Zbl 1415.11035) Full Text: DOI arXiv
Beil, Sabine Combinatorics of hexagonal fully packed loop configurations. (English) Zbl 1327.05336 Adv. Appl. Math. 69, 109-147 (2015). MSC: 05E10 05E15 PDFBibTeX XMLCite \textit{S. Beil}, Adv. Appl. Math. 69, 109--147 (2015; Zbl 1327.05336) Full Text: DOI arXiv
Cameron, Naiomi T.; Killpatrick, Kendra Inversion polynomials for permutations avoiding consecutive patterns. (English) Zbl 1314.05018 Adv. Appl. Math. 67, 20-35 (2015). MSC: 05A17 05A19 11B39 11B65 PDFBibTeX XMLCite \textit{N. T. Cameron} and \textit{K. Killpatrick}, Adv. Appl. Math. 67, 20--35 (2015; Zbl 1314.05018) Full Text: DOI arXiv
Ismail, Mourad E. H.; Zeng, Jiang A combinatorial approach to the 2D-Hermite and 2D-Laguerre polynomials. (English) Zbl 1305.33026 Adv. Appl. Math. 64, 70-88 (2015). MSC: 33C50 33C70 05A15 05A16 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{J. Zeng}, Adv. Appl. Math. 64, 70--88 (2015; Zbl 1305.33026) Full Text: DOI
Chappelon, Jonathan Balanced simplices. (English) Zbl 1302.05020 Adv. Appl. Math. 62, 74-117 (2015). MSC: 05B30 11B75 05A05 05A10 11B50 11A99 68Q80 PDFBibTeX XMLCite \textit{J. Chappelon}, Adv. Appl. Math. 62, 74--117 (2015; Zbl 1302.05020) Full Text: DOI arXiv
Miner, Sam; Pak, Igor The shape of random pattern-avoiding permutations. (English) Zbl 1300.05032 Adv. Appl. Math. 55, 86-130 (2014). MSC: 05A16 05A10 05A19 60C05 PDFBibTeX XMLCite \textit{S. Miner} and \textit{I. Pak}, Adv. Appl. Math. 55, 86--130 (2014; Zbl 1300.05032) Full Text: DOI arXiv
Sun, Zhi-Wei Congruences for Franel numbers. (English) Zbl 1281.05007 Adv. Appl. Math. 51, No. 4, 524-535 (2013). MSC: 05A10 11A07 11B65 PDFBibTeX XMLCite \textit{Z.-W. Sun}, Adv. Appl. Math. 51, No. 4, 524--535 (2013; Zbl 1281.05007) Full Text: DOI arXiv
Nagy, Gábor V. A combinatorial proof of Shapiro’s Catalan convolution. (English) Zbl 1252.05005 Adv. Appl. Math. 49, No. 3-5, 391-396 (2012). MSC: 05A10 05A19 PDFBibTeX XMLCite \textit{G. V. Nagy}, Adv. Appl. Math. 49, No. 3--5, 391--396 (2012; Zbl 1252.05005) Full Text: DOI arXiv
Pan, Hao; Sun, Zhi-Wei Some \(q\)-congruences related to 3-adic valuations. (English) Zbl 1269.11017 Adv. Appl. Math. 49, No. 3-5, 263-270 (2012). MSC: 11B65 05A10 05A30 11A07 11S99 PDFBibTeX XMLCite \textit{H. Pan} and \textit{Z.-W. Sun}, Adv. Appl. Math. 49, No. 3--5, 263--270 (2012; Zbl 1269.11017) Full Text: DOI arXiv
Hessami Pilehrood, Kh.; Hessami Pilehrood, T. Congruences arising from Apéry-type series for zeta values. (English) Zbl 1293.11030 Adv. Appl. Math. 49, No. 3-5, 218-238 (2012). Reviewer: Romeo Meštrović (Kotor) MSC: 11B65 05A10 11B68 11A07 33F10 11B39 11M06 PDFBibTeX XMLCite \textit{Kh. Hessami Pilehrood} and \textit{T. Hessami Pilehrood}, Adv. Appl. Math. 49, No. 3--5, 218--238 (2012; Zbl 1293.11030) Full Text: DOI arXiv
Tauraso, Roberto \(q\)-analogs of some congruences involving Catalan numbers. (English) Zbl 1270.11016 Adv. Appl. Math. 48, No. 5, 603-614 (2012). Reviewer: Romeo Meštrović (Kotor) MSC: 11B65 11A07 05A10 05A19 PDFBibTeX XMLCite \textit{R. Tauraso}, Adv. Appl. Math. 48, No. 5, 603--614 (2012; Zbl 1270.11016) Full Text: DOI arXiv
Wan, James G. Moments of products of elliptic integrals. (English) Zbl 1231.33020 Adv. Appl. Math. 48, No. 1, 121-141 (2012). MSC: 33C75 33C20 42A16 60G50 PDFBibTeX XMLCite \textit{J. G. Wan}, Adv. Appl. Math. 48, No. 1, 121--141 (2012; Zbl 1231.33020) Full Text: DOI arXiv
Apagodu, Moa New series representations for Jacobi’s triple product identity and more via the \(q\)-Markov method. (English) Zbl 1231.33028 Adv. Appl. Math. 48, No. 1, 25-36 (2012). MSC: 33F10 33D15 05A10 41A25 PDFBibTeX XMLCite \textit{M. Apagodu}, Adv. Appl. Math. 48, No. 1, 25--36 (2012; Zbl 1231.33028) Full Text: DOI arXiv
Chapuy, Guillaume A new combinatorial identity for unicellular maps, via a direct bijective approach. (English) Zbl 1234.05037 Adv. Appl. Math. 47, No. 4, 874-893 (2011). MSC: 05A19 05A15 05C30 05A10 PDFBibTeX XMLCite \textit{G. Chapuy}, Adv. Appl. Math. 47, No. 4, 874--893 (2011; Zbl 1234.05037) Full Text: DOI arXiv
Kasraoui, Anisse; Stanton, Dennis; Zeng, Jiang The combinatorics of Al-Salam-Chihara \(q\)-Laguerre polynomials. (English) Zbl 1234.05035 Adv. Appl. Math. 47, No. 2, 216-239 (2011). MSC: 05A18 05A15 05A30 PDFBibTeX XMLCite \textit{A. Kasraoui} et al., Adv. Appl. Math. 47, No. 2, 216--239 (2011; Zbl 1234.05035) Full Text: DOI arXiv
Striker, Jessica A unifying poset perspective on alternating sign matrices, plane partitions, Catalan objects, tournaments, and tableaux. (English) Zbl 1239.06001 Adv. Appl. Math. 46, No. 1-4, 583-609 (2011). Reviewer: James F. Lawrence (Fairfax) MSC: 06A07 05A05 05A10 05C20 05E10 PDFBibTeX XMLCite \textit{J. Striker}, Adv. Appl. Math. 46, No. 1--4, 583--609 (2011; Zbl 1239.06001) Full Text: DOI arXiv
Cigler, J.; Krattenthaler, C. Some determinants of path generating functions. (English) Zbl 1227.05067 Adv. Appl. Math. 46, No. 1-4, 144-174 (2011). MSC: 05A19 05A10 05A15 11C20 15A15 PDFBibTeX XMLCite \textit{J. Cigler} and \textit{C. Krattenthaler}, Adv. Appl. Math. 46, No. 1--4, 144--174 (2011; Zbl 1227.05067) Full Text: DOI arXiv
Cho, Soojin; Moon, Dongho Reduction formulae of Littlewood-Richardson coefficients. (English) Zbl 1227.05263 Adv. Appl. Math. 46, No. 1-4, 125-143 (2011). MSC: 05E10 05A17 PDFBibTeX XMLCite \textit{S. Cho} and \textit{D. Moon}, Adv. Appl. Math. 46, No. 1--4, 125--143 (2011; Zbl 1227.05263) Full Text: DOI
Andrews, George E. On Shapiro’s Catalan convolution. (English) Zbl 1227.05029 Adv. Appl. Math. 46, No. 1-4, 15-24 (2011). MSC: 05A10 05A17 05A30 33B10 PDFBibTeX XMLCite \textit{G. E. Andrews}, Adv. Appl. Math. 46, No. 1--4, 15--24 (2011; Zbl 1227.05029) Full Text: DOI
Grinshpan, Arcadii Z. Weighted inequalities and negative binomials. (English) Zbl 1220.26015 Adv. Appl. Math. 45, No. 4, 564-606 (2010). MSC: 26D15 05A10 26D05 33B15 44A10 PDFBibTeX XMLCite \textit{A. Z. Grinshpan}, Adv. Appl. Math. 45, No. 4, 564--606 (2010; Zbl 1220.26015) Full Text: DOI
Guo, Victor J. W.; Zeng, Jiang Some congruences involving central \(q\)-binomial coefficients. (English) Zbl 1231.11020 Adv. Appl. Math. 45, No. 3, 303-316 (2010). Reviewer: Hao Pan (Nanjing) MSC: 11B65 11A07 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J. Zeng}, Adv. Appl. Math. 45, No. 3, 303--316 (2010; Zbl 1231.11020) Full Text: DOI arXiv
Sun, Zhi-Wei; Tauraso, Roberto New congruences for central binomial coefficients. (English) Zbl 1231.11021 Adv. Appl. Math. 45, No. 1, 125-148 (2010). Reviewer: Hao Pan (Nanjing) MSC: 11B65 05A10 05A19 11A07 11B39 11B68 PDFBibTeX XMLCite \textit{Z.-W. Sun} and \textit{R. Tauraso}, Adv. Appl. Math. 45, No. 1, 125--148 (2010; Zbl 1231.11021) Full Text: DOI arXiv
Cao, Hui-Qin; Pan, Hao Factors of alternating binomial sums. (English) Zbl 1206.11023 Adv. Appl. Math. 45, No. 1, 96-107 (2010). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 11A07 05A30 PDFBibTeX XMLCite \textit{H.-Q. Cao} and \textit{H. Pan}, Adv. Appl. Math. 45, No. 1, 96--107 (2010; Zbl 1206.11023) Full Text: DOI arXiv
McNamara, Peter R. W.; Sagan, Bruce E. Infinite log-concavity: developments and conjectures. (English) Zbl 1184.05005 Adv. Appl. Math. 44, No. 1, 1-15 (2010). Reviewer: Ping Sun (Shenyang) MSC: 05A10 05A20 05A30 05E05 33D99 39B12 PDFBibTeX XMLCite \textit{P. R. W. McNamara} and \textit{B. E. Sagan}, Adv. Appl. Math. 44, No. 1, 1--15 (2010; Zbl 1184.05005) Full Text: DOI arXiv
Yu, Yaming Confirming two conjectures of Su and Wang on binomial coefficients. (English) Zbl 1175.05013 Adv. Appl. Math. 43, No. 4, 317-322 (2009). MSC: 05A10 05A20 PDFBibTeX XMLCite \textit{Y. Yu}, Adv. Appl. Math. 43, No. 4, 317--322 (2009; Zbl 1175.05013) Full Text: DOI arXiv
McLaughlin, James; Zimmer, Peter Some implications of the WP-Bailey tree. (English) Zbl 1173.33015 Adv. Appl. Math. 43, No. 2, 162-175 (2009). Reviewer: Toufik Mansour (Haifa) MSC: 33D15 11B65 05A19 PDFBibTeX XMLCite \textit{J. McLaughlin} and \textit{P. Zimmer}, Adv. Appl. Math. 43, No. 2, 162--175 (2009; Zbl 1173.33015) Full Text: DOI arXiv
Sofo, Anthony Sums of derivatives of binomial coefficients. (English) Zbl 1220.11025 Adv. Appl. Math. 42, No. 1, 123-134 (2009). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 05A19 05A10 PDFBibTeX XMLCite \textit{A. Sofo}, Adv. Appl. Math. 42, No. 1, 123--134 (2009; Zbl 1220.11025) Full Text: DOI
Luca, Florian Prime divisors of binary holonomic sequences. (English) Zbl 1165.11004 Adv. Appl. Math. 40, No. 2, 168-179 (2008). Reviewer: Hao Pan (Nanjing) MSC: 11A07 11B65 11L40 PDFBibTeX XMLCite \textit{F. Luca}, Adv. Appl. Math. 40, No. 2, 168--179 (2008; Zbl 1165.11004) Full Text: DOI
Andrews, George E.; Warnaar, S. Ole The product of partial theta functions. (English) Zbl 1120.33014 Adv. Appl. Math. 39, No. 1, 116-120 (2007). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 11B65 05A30 11F27 PDFBibTeX XMLCite \textit{G. E. Andrews} and \textit{S. O. Warnaar}, Adv. Appl. Math. 39, No. 1, 116--120 (2007; Zbl 1120.33014) Full Text: DOI
Heuberger, Clemens; Prodinger, Helmut On \(\alpha \)-greedy expansions of numbers. (English) Zbl 1211.11012 Adv. Appl. Math. 38, No. 4, 505-525 (2007). MSC: 11A63 26A27 42A16 PDFBibTeX XMLCite \textit{C. Heuberger} and \textit{H. Prodinger}, Adv. Appl. Math. 38, No. 4, 505--525 (2007; Zbl 1211.11012) Full Text: DOI
Chan, O-Yeat Weighted trigonometric sums over a half-period. (English) Zbl 1151.11040 Adv. Appl. Math. 38, No. 4, 482-504 (2007). Reviewer: Tatyana L. Todorova (Sofia) MSC: 11L03 42A32 42B05 PDFBibTeX XMLCite \textit{O-Y. Chan}, Adv. Appl. Math. 38, No. 4, 482--504 (2007; Zbl 1151.11040) Full Text: DOI
Barcelo, Hélène; Sagan, Bruce E.; Sundaram, Sheila Counting permutations by congruence class of major index. (English) Zbl 1120.05002 Adv. Appl. Math. 39, No. 2, 269-281 (2007). Reviewer: Astrid Reifegerste (Magdeburg) MSC: 05A05 05A10 05A15 05A19 11B50 PDFBibTeX XMLCite \textit{H. Barcelo} et al., Adv. Appl. Math. 39, No. 2, 269--281 (2007; Zbl 1120.05002) Full Text: DOI arXiv
Hyvönen, Nuutti Application of the factorization method to the characterization of weak inclusions in electrical impedance tomography. (English) Zbl 1118.35069 Adv. Appl. Math. 39, No. 2, 197-221 (2007). MSC: 35R30 35J25 35J40 35R05 PDFBibTeX XMLCite \textit{N. Hyvönen}, Adv. Appl. Math. 39, No. 2, 197--221 (2007; Zbl 1118.35069) Full Text: DOI
Soussi, Sofiane Modeling photonic crystal fibers. (English) Zbl 1132.35084 Adv. Appl. Math. 36, No. 3, 288-317 (2006). Reviewer: Norbert Weck (Essen) MSC: 35Q60 78A50 45P05 PDFBibTeX XMLCite \textit{S. Soussi}, Adv. Appl. Math. 36, No. 3, 288--317 (2006; Zbl 1132.35084) Full Text: DOI
Ishikawa, Masao; Okada, Soichi; Tagawa, Hiroyuki; Zeng, Jiang Generalizations of Cauchy’s determinant and Schur’s Pfaffian. (English) Zbl 1134.15005 Adv. Appl. Math. 36, No. 3, 251-287 (2006). Reviewer: Rabe von Randow (Bonn) MSC: 15A15 PDFBibTeX XMLCite \textit{M. Ishikawa} et al., Adv. Appl. Math. 36, No. 3, 251--287 (2006; Zbl 1134.15005) Full Text: DOI arXiv
Sage, Daniel S. Racah coefficients, subrepresentation semirings, and composite materials. (English) Zbl 1081.22006 Adv. Appl. Math. 34, No. 2, 335-357 (2005). MSC: 22E70 PDFBibTeX XMLCite \textit{D. S. Sage}, Adv. Appl. Math. 34, No. 2, 335--357 (2005; Zbl 1081.22006) Full Text: DOI
Chu, Wenchang; De Donno, Livia Hypergeometric series and harmonic number identities. (English) Zbl 1062.05017 Adv. Appl. Math. 34, No. 1, 123-137 (2005). Reviewer: Wolfram Koepf (Kassel) MSC: 05A19 05A10 33C20 11P83 PDFBibTeX XMLCite \textit{W. Chu} and \textit{L. De Donno}, Adv. Appl. Math. 34, No. 1, 123--137 (2005; Zbl 1062.05017) Full Text: DOI arXiv
Grinshpan, Arcadii Z. General inequalities, consequences and applications. (English) Zbl 1097.26015 Adv. Appl. Math. 34, No. 1, 71-100 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 26D15 26A33 26D20 30C50 33B15 33C05 33C15 PDFBibTeX XMLCite \textit{A. Z. Grinshpan}, Adv. Appl. Math. 34, No. 1, 71--100 (2005; Zbl 1097.26015) Full Text: DOI
Brunetti, S.; Del Lungo, A. On the polynomial \(\frac {1} {[n]_q}[ ^n_k]_q\). (English) Zbl 1056.05013 Adv. Appl. Math. 33, No. 3, 487-491 (2004). MSC: 05A30 11B65 PDFBibTeX XMLCite \textit{S. Brunetti} and \textit{A. Del Lungo}, Adv. Appl. Math. 33, No. 3, 487--491 (2004; Zbl 1056.05013) Full Text: DOI
Alladi, Krishnaswami; Berkovich, Alexander New polynomial analogues of Jacobi’s triple product and Lebesgue’s identities. (English) Zbl 1054.33012 Adv. Appl. Math. 32, No. 4, 801-824 (2004). Reviewer: Axel Riese (Linz) MSC: 33D15 05A17 11B65 PDFBibTeX XMLCite \textit{K. Alladi} and \textit{A. Berkovich}, Adv. Appl. Math. 32, No. 4, 801--824 (2004; Zbl 1054.33012) Full Text: DOI arXiv
Mansour, Toufik Average norms of polynomials. (English) Zbl 1066.30005 Adv. Appl. Math. 32, No. 4, 698-708 (2004). Reviewer: George Csordas (Honolulu) MSC: 30C10 26C05 PDFBibTeX XMLCite \textit{T. Mansour}, Adv. Appl. Math. 32, No. 4, 698--708 (2004; Zbl 1066.30005) Full Text: DOI arXiv
Sills, Andrew V. On series expansions of Capparelli’s infinite product. (English) Zbl 1160.11355 Adv. Appl. Math. 33, No. 2, 397-408 (2004). MSC: 11P81 05A17 05A19 11B65 PDFBibTeX XMLCite \textit{A. V. Sills}, Adv. Appl. Math. 33, No. 2, 397--408 (2004; Zbl 1160.11355) Full Text: DOI arXiv
Ehrenborg, Richard Determinants involving \(q\)-Stirling numbers. (English) Zbl 1071.05011 Adv. Appl. Math. 31, No. 4, 630-642 (2003). MSC: 05A30 05A10 11B73 PDFBibTeX XMLCite \textit{R. Ehrenborg}, Adv. Appl. Math. 31, No. 4, 630--642 (2003; Zbl 1071.05011) Full Text: DOI
Loehr, N. Trapezoidal lattice paths and multivariate analogues. (English) Zbl 1065.05008 Adv. Appl. Math. 31, No. 4, 597-629 (2003). MSC: 05A15 11B65 05A30 PDFBibTeX XMLCite \textit{N. Loehr}, Adv. Appl. Math. 31, No. 4, 597--629 (2003; Zbl 1065.05008) Full Text: DOI
Paule, Peter; Schneider, Carsten Computer proofs of a new family of harmonic number identities. (English) Zbl 1039.11007 Adv. Appl. Math. 31, No. 2, 359-378 (2003). Reviewer: Laurenţiu Panaitopol (Bucureşti) MSC: 11B65 11Y16 33F10 PDFBibTeX XMLCite \textit{P. Paule} and \textit{C. Schneider}, Adv. Appl. Math. 31, No. 2, 359--378 (2003; Zbl 1039.11007) Full Text: DOI
Kalai, Gil A Fourier-theoretic perspective on the Condorcet paradox and Arrow’s theorem. (English) Zbl 1038.91027 Adv. Appl. Math. 29, No. 3, 412-426 (2002). Reviewer: Duncan J. Melville (Canton) MSC: 91B12 06E30 PDFBibTeX XMLCite \textit{G. Kalai}, Adv. Appl. Math. 29, No. 3, 412--426 (2002; Zbl 1038.91027) Full Text: DOI
Guillera, Jesús Some binomial series obtained by the WZ-method. (English) Zbl 1013.33010 Adv. Appl. Math. 29, No. 4, 599-603 (2002). Reviewer: Hans Benker (Merseburg) MSC: 33F10 33C20 11B65 05A19 PDFBibTeX XMLCite \textit{J. Guillera}, Adv. Appl. Math. 29, No. 4, 599--603 (2002; Zbl 1013.33010) Full Text: DOI arXiv
Grinshpan, Arcadii Z. Inequalities generated by the gamma function. (English) Zbl 1026.26007 Adv. Appl. Math. 29, No. 1, 115-125 (2002). Reviewer: János Aczél (Waterloo / Ontario) MSC: 26D07 33B15 30A10 05A10 26D15 41A58 PDFBibTeX XMLCite \textit{A. Z. Grinshpan}, Adv. Appl. Math. 29, No. 1, 115--125 (2002; Zbl 1026.26007) Full Text: DOI
Mansour, Toufik Combinatorial identities and inverse binomial coefficients. (English) Zbl 1004.05011 Adv. Appl. Math. 28, No. 2, 196-202 (2002). Reviewer: D. V. Chopra (Wichita) MSC: 05A19 05A10 11B65 PDFBibTeX XMLCite \textit{T. Mansour}, Adv. Appl. Math. 28, No. 2, 196--202 (2002; Zbl 1004.05011) Full Text: DOI
Boyer, Robert P.; Thiel, Linda C. Generalized Bernstein polynomials and symmetric functions. (English) Zbl 1003.05004 Adv. Appl. Math. 28, No. 1, 17-39 (2001). MSC: 05A10 05E05 PDFBibTeX XMLCite \textit{R. P. Boyer} and \textit{L. C. Thiel}, Adv. Appl. Math. 28, No. 1, 17--39 (2001; Zbl 1003.05004) Full Text: DOI Link
Berkovich, Alexander; Riese, Axel A computer proof of a polynomial identity implying a partition theorem of Göllnitz. (English) Zbl 1021.11027 Adv. Appl. Math. 28, No. 1, 1-16 (2001). Reviewer: N.Robbins (San Francisco) MSC: 11P83 05A17 05A19 PDFBibTeX XMLCite \textit{A. Berkovich} and \textit{A. Riese}, Adv. Appl. Math. 28, No. 1, 1--16 (2001; Zbl 1021.11027) Full Text: DOI arXiv
Ismail, Mourad E. H.; Jing, Naihuan \(q\)-discriminants and vertex operators. (English) Zbl 1001.17030 Adv. Appl. Math. 27, No. 2-3, 482-492 (2001). Reviewer: Xu Xiaoping (Kowloon) MSC: 17B69 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{N. Jing}, Adv. Appl. Math. 27, No. 2--3, 482--492 (2001; Zbl 1001.17030) Full Text: DOI
Guo, Li Baxter algebras and the umbral calculus. (English) Zbl 1004.05012 Adv. Appl. Math. 27, No. 2-3, 405-426 (2001). Reviewer: Frank J.Sottile (Amherst) MSC: 05A40 16S10 PDFBibTeX XMLCite \textit{L. Guo}, Adv. Appl. Math. 27, No. 2--3, 405--426 (2001; Zbl 1004.05012) Full Text: DOI
Amdeberhan, Tewodros; Zeilberger, Doron Determinants through the looking glass. (English) Zbl 0994.05018 Adv. Appl. Math. 27, No. 2-3, 225-230 (2001). MSC: 05A19 15A15 05A10 05A15 PDFBibTeX XMLCite \textit{T. Amdeberhan} and \textit{D. Zeilberger}, Adv. Appl. Math. 27, No. 2--3, 225--230 (2001; Zbl 0994.05018) Full Text: DOI
Brunetti, S.; Del Lungo, A.; Del Ristoro, F. An equipartition property for the distribution of multiset permutation inversions. (English) Zbl 0988.05012 Adv. Appl. Math. 27, No. 1, 41-50 (2001). MSC: 05A15 05A05 05A10 PDFBibTeX XMLCite \textit{S. Brunetti} et al., Adv. Appl. Math. 27, No. 1, 41--50 (2001; Zbl 0988.05012) Full Text: DOI
Bickel, Thomas The group of generalized Stirling numbers. (English) Zbl 0979.05010 Adv. Appl. Math. 26, No. 1, 1-22 (2001). Reviewer: D.V.Chopra (Wichita) MSC: 05A40 11B73 05A10 PDFBibTeX XMLCite \textit{T. Bickel}, Adv. Appl. Math. 26, No. 1, 1--22 (2001; Zbl 0979.05010) Full Text: DOI
Verde-Star, Luis Sections and lacunary sums of linearly recurrent sequences. (English) Zbl 0932.05003 Adv. Appl. Math. 23, No. 2, 176-197 (1999). Reviewer: V.I.Tkachenko (Kyïv) MSC: 05A15 11B65 05B10 39A99 PDFBibTeX XMLCite \textit{L. Verde-Star}, Adv. Appl. Math. 23, No. 2, 176--197 (1999; Zbl 0932.05003) Full Text: DOI
Chu, Wenchang; Marini, Alberto Partial fractions and trigonometric identities. (English) Zbl 0944.33001 Adv. Appl. Math. 23, No. 2, 115-175 (1999). Reviewer: D.Duverney (Lille) MSC: 33B10 05A15 11B65 PDFBibTeX XMLCite \textit{W. Chu} and \textit{A. Marini}, Adv. Appl. Math. 23, No. 2, 115--175 (1999; Zbl 0944.33001) Full Text: DOI Link
Wenzel, Walter A unified treatment of the geometric algebra of matroids and even \(\Delta\)-matroids. (English) Zbl 0926.05012 Adv. Appl. Math. 22, No. 4, 413-453 (1999). MSC: 05B35 PDFBibTeX XMLCite \textit{W. Wenzel}, Adv. Appl. Math. 22, No. 4, 413--453 (1999; Zbl 0926.05012) Full Text: DOI
Venturini, Sergio Gaussian integrals, multinomial coefficients, and homogeneous functions. (English) Zbl 0929.33002 Adv. Appl. Math. 22, No. 3, 297-302 (1999). Reviewer: R.N.Siddiqi (Safat) MSC: 33B15 26A06 PDFBibTeX XMLCite \textit{S. Venturini}, Adv. Appl. Math. 22, No. 3, 297--302 (1999; Zbl 0929.33002) Full Text: DOI
Hsu, Leetsch C.; Shiue, Peter Jau-Shyong A unified approach to generalized Stirling numbers. (English) Zbl 0913.05006 Adv. Appl. Math. 20, No. 3, 366-384 (1998). Reviewer: L.A.Székely (Columbia/South Carolina) MSC: 05A15 11B73 PDFBibTeX XMLCite \textit{L. C. Hsu} and \textit{P. J. S. Shiue}, Adv. Appl. Math. 20, No. 3, 366--384 (1998; Zbl 0913.05006) Full Text: DOI
Aguiar, Marcelo Braids, \(q\)-binomials, and quantum groups. (English) Zbl 0940.20043 Adv. Appl. Math. 20, No. 3, 323-365 (1998). Reviewer: Stefano Capparelli (Roma) MSC: 20F36 05A30 17B37 18D10 16W30 05A10 11B65 PDFBibTeX XMLCite \textit{M. Aguiar}, Adv. Appl. Math. 20, No. 3, 323--365 (1998; Zbl 0940.20043) Full Text: DOI
Dufresne, Daniel Algebraic properties of beta and gamma distributions, and applications. (English) Zbl 0915.62006 Adv. Appl. Math. 20, No. 3, 285-299 (1998). Reviewer: A.Ulanovskij (Khar’kov) MSC: 62E10 60E05 60J10 PDFBibTeX XMLCite \textit{D. Dufresne}, Adv. Appl. Math. 20, No. 3, 285--299 (1998; Zbl 0915.62006) Full Text: DOI
Chen, Yang; Ismail, Mourad E. H.; Van Assche, Walter Tau-function constructions of the recurrence coefficients of orthogonal polynomials. (English) Zbl 0930.42012 Adv. Appl. Math. 20, No. 2, 141-168 (1998). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{Y. Chen} et al., Adv. Appl. Math. 20, No. 2, 141--168 (1998; Zbl 0930.42012) Full Text: DOI
Lassalle, Michel Some combinatorial conjectures regarding the classical Chu- Vandermonde formula. (Quelques conjectures combinatoires relatives à la formule classique de Chu- Vandermonde.) (French) Zbl 0909.05007 Adv. Appl. Math. 21, No. 3, 457-472 (1998). Reviewer: W.G.Brown (Montreal) MSC: 05A17 05A10 05A19 11P81 PDFBibTeX XMLCite \textit{M. Lassalle}, Adv. Appl. Math. 21, No. 3, 457--472 (1998; Zbl 0909.05007) Full Text: DOI
Konvalina, John Generalized binomial coefficients and the subset-subspace problem. (English) Zbl 0936.05003 Adv. Appl. Math. 21, No. 2, 228-240 (1998). MSC: 05A10 05A30 PDFBibTeX XMLCite \textit{J. Konvalina}, Adv. Appl. Math. 21, No. 2, 228--240 (1998; Zbl 0936.05003) Full Text: DOI
Munarini, Emanuele A combinatorial interpretation of the generalized Fibonacci numbers. (English) Zbl 0884.11017 Adv. Appl. Math. 19, No. 3, 306-318 (1997). Reviewer: A.N.Philippou (Nicosia) MSC: 11B39 05A10 05A19 PDFBibTeX XMLCite \textit{E. Munarini}, Adv. Appl. Math. 19, No. 3, 306--318 (1997; Zbl 0884.11017) Full Text: DOI
Verde-Star, Luis Solution of linear differential equations by the method of divided differences. (English) Zbl 0848.65056 Adv. Appl. Math. 16, No. 4, 484-508 (1995). Reviewer: L.Berg (Rostock) MSC: 65L05 34A30 65L12 PDFBibTeX XMLCite \textit{L. Verde-Star}, Adv. Appl. Math. 16, No. 4, 484--508 (1995; Zbl 0848.65056) Full Text: DOI
de Médicis, Anne; Viennot, Xavier G. Moments of \(q\)-Laguerre polynomials and the Foata-Zeilberger bijection. (Moments des \(q\)-polynômes de Laguerre et la bijection de Foata- Zeilberger.) (French) Zbl 0812.05074 Adv. Appl. Math. 15, No. 3, 262-304 (1994). Reviewer: A.de Médicis (Montreal) MSC: 05E35 33C45 11B65 05A30 PDFBibTeX XMLCite \textit{A. de Médicis} and \textit{X. G. Viennot}, Adv. Appl. Math. 15, No. 3, 262--304 (1994; Zbl 0812.05074) Full Text: DOI
Yan, Joseph G.-G. Existence of stable spatially periodic steady states in coupled reaction- diffusion equations. (English) Zbl 0801.35065 Adv. Appl. Math. 14, No. 1, 62-88 (1993). MSC: 35K60 35K57 35B32 35B35 35B10 PDFBibTeX XMLCite \textit{J. G. G. Yan}, Adv. Appl. Math. 14, No. 1, 62--88 (1993; Zbl 0801.35065) Full Text: DOI
Biedenharn, L. C.; Bincer, A. M.; Lohe, M. A.; Louck, J. D. New relations and identities for generalized hypergeometric coefficients. (English) Zbl 0746.33013 Adv. Appl. Math. 13, No. 1, 62-121 (1992). Reviewer: G.Roepstorff (Aachen) MSC: 33C80 33C20 22E70 PDFBibTeX XMLCite \textit{L. C. Biedenharn} et al., Adv. Appl. Math. 13, No. 1, 62--121 (1992; Zbl 0746.33013) Full Text: DOI