Bergeron, Nantel; Ceballos, Cesar; Küstner, Josef Elliptic and \(q\)-analogs of the fibonomial numbers. (English) Zbl 07292444 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 076, 16 p. (2020). MSC: 11B39 05A30 05A10 PDF BibTeX XML Cite \textit{N. Bergeron} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 076, 16 p. (2020; Zbl 07292444) Full Text: DOI
Bergeron, Nantel; Ceballos, Cesar; Küstner, Josef Elliptic and \(q\)-analogs of the fibonomial numbers. (English) Zbl 1447.05037 Sémin. Lothar. Comb. 84B, 84B.63, 12 p. (2020). MSC: 05A30 05A15 11B39 11B75 PDF BibTeX XML Cite \textit{N. Bergeron} et al., Sémin. Lothar. Comb. 84B, 84B.63, 12 p. (2020; Zbl 1447.05037) Full Text: Link
Zhao, Jianqiang Uniform approach to double shuffle and duality relations of various \(q\)-analogs of multiple zeta values via Rota-Baxter algebras. (English) Zbl 1444.81023 Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 259-292 (2020). MSC: 81R50 17B37 11M32 11M36 17B38 PDF BibTeX XML Cite \textit{J. Zhao}, Springer Proc. Math. Stat. 314, 259--292 (2020; Zbl 1444.81023) Full Text: DOI
Hu, Han; Song, Chunwei Generalized \(q\)-Runyon numbers on truncated rectangle. (English) Zbl 1452.05002 Util. Math. 112, 265-286 (2019). MSC: 05A05 05A15 05A19 05A30 60C05 PDF BibTeX XML Cite \textit{H. Hu} and \textit{C. Song}, Util. Math. 112, 265--286 (2019; Zbl 1452.05002)
Buratti, Marco; Kiermaier, Michael; Kurz, Sascha; Nakić, Anamari; Wassermann, Alfred \(q\)-analogs of group divisible designs. (English) Zbl 1448.51005 Schmidt, Kai-Uwe (ed.) et al., Combinatorics and finite fields. Difference sets, polynomials, pseudorandomness and applications. Selected papers based on the presentations at the workshop on pseudo-randomness and finite fields, Linz, Austria, October 15–18, 2018. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 23, 21-38 (2019). Reviewer: Gloria Rinaldi (Reggio Emilia) MSC: 51E20 05B05 PDF BibTeX XML Cite \textit{M. Buratti} et al., Radon Ser. Comput. Appl. Math. 23, 21--38 (2019; Zbl 1448.51005) Full Text: DOI
Vyas, V. K.; Al-Jarrah, Ali A.; Purohit, S. D. \(q\)-Sumudu transforms pertaining to the product of family of \(q\)-polynomials and generalized basic hypergeometric functions. (English) Zbl 1431.33020 Appl. Appl. Math. 14, No. 2, 1099-1111 (2019). MSC: 33D45 33D60 05A30 PDF BibTeX XML Cite \textit{V. K. Vyas} et al., Appl. Appl. Math. 14, No. 2, 1099--1111 (2019; Zbl 1431.33020) Full Text: Link
Ismail, Mourad E. H.; Mansour, Zeinab S. I. \(q\)-Analogs of Lidstone expansion theorem, two-point Taylor expansion theorem, and Bernoulli polynomials. (English) Zbl 1423.05029 Anal. Appl., Singap. 17, No. 6, 853-895 (2019). MSC: 05A30 11B68 30B10 30E20 33D15 39A13 PDF BibTeX XML Cite \textit{M. E. H. Ismail} and \textit{Z. S. I. Mansour}, Anal. Appl., Singap. 17, No. 6, 853--895 (2019; Zbl 1423.05029) Full Text: DOI
Zayed, Hanaa M.; Irmak, Hüseyin Some inequalities in relation with Fekete-Szegö problems specified by the Hadamard products of certain meromorphically analytic functions in the punctured unit disc. (English) Zbl 1438.30109 Afr. Mat. 30, No. 5-6, 715-724 (2019). MSC: 30C45 30C50 PDF BibTeX XML Cite \textit{H. M. Zayed} and \textit{H. Irmak}, Afr. Mat. 30, No. 5--6, 715--724 (2019; Zbl 1438.30109) Full Text: DOI
Oh, Se-jin; Scrimshaw, Travis Identities from representation theory. (English) Zbl 1416.05298 Discrete Math. 342, No. 9, 2493-2541 (2019). MSC: 05E10 05A30 14N15 05E05 PDF BibTeX XML Cite \textit{S.-j. Oh} and \textit{T. Scrimshaw}, Discrete Math. 342, No. 9, 2493--2541 (2019; Zbl 1416.05298) Full Text: DOI
Braun, Michael; Kiermaier, Michael; Laue, Reinhard New 2-designs over finite fields from derived and residual designs. (English) Zbl 1415.05021 Adv. Math. Commun. 13, No. 1, 165-170 (2019). MSC: 05B05 51E20 05B25 PDF BibTeX XML Cite \textit{M. Braun} et al., Adv. Math. Commun. 13, No. 1, 165--170 (2019; Zbl 1415.05021) Full Text: DOI
Sierociuk, Dominik; Macias, Michal; Malesza, Wiktor Analog realization of fractional variable-type and -order iterative operator. (English) Zbl 1427.39004 Appl. Math. Comput. 336, 138-147 (2018). MSC: 39A13 PDF BibTeX XML Cite \textit{D. Sierociuk} et al., Appl. Math. Comput. 336, 138--147 (2018; Zbl 1427.39004) Full Text: DOI
Tan, Elif A \(Q\)-analog of the bi-periodic Lucas sequence. (English) Zbl 1414.05048 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 67, No. 2, 220-228 (2018). Reviewer: Uğur Duran (Hatay) MSC: 05A30 05A15 11B83 PDF BibTeX XML Cite \textit{E. Tan}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 67, No. 2, 220--228 (2018; Zbl 1414.05048) Full Text: DOI
Harris, Pamela E.; Insko, Erik; Simpson, Anthony Computing weight \(q\)-multiplicities for the representations of the simple Lie algebras. (English) Zbl 1436.17011 Appl. Algebra Eng. Commun. Comput. 29, No. 4, 351-362 (2018). MSC: 17B10 17B20 17-08 PDF BibTeX XML Cite \textit{P. E. Harris} et al., Appl. Algebra Eng. Commun. Comput. 29, No. 4, 351--362 (2018; Zbl 1436.17011) Full Text: DOI arXiv
Etzion, Tuvi A new approach for examining \(q\)-Steiner systems. (English) Zbl 1387.05042 Electron. J. Comb. 25, No. 2, Research Paper P2.8, 24 p. (2018). MSC: 05B40 51E10 94B25 PDF BibTeX XML Cite \textit{T. Etzion}, Electron. J. Comb. 25, No. 2, Research Paper P2.8, 24 p. (2018; Zbl 1387.05042) Full Text: Link
Etzion, Tuvi; Hooker, Niv Residual \(q\)-Fano planes and related structures. (English) Zbl 1391.05068 Electron. J. Comb. 25, No. 2, Research Paper P2.3, 25 p. (2018). MSC: 05B25 51E10 PDF BibTeX XML Cite \textit{T. Etzion} and \textit{N. Hooker}, Electron. J. Comb. 25, No. 2, Research Paper P2.3, 25 p. (2018; Zbl 1391.05068) Full Text: Link arXiv
Chen, Yuanyuan; Kang, Na Bases for universal \(q\)-analog Bannai-Ito algebra. (Chinese. English summary) Zbl 1399.17010 J. Hebei Norm. Univ., Nat. Sci. Ed. 41, No. 6, 461-467 (2017). MSC: 17A70 17A50 17B81 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{N. Kang}, J. Hebei Norm. Univ., Nat. Sci. Ed. 41, No. 6, 461--467 (2017; Zbl 1399.17010) Full Text: DOI
Bergeron, François A \(q\)-analog of Foulkes’ conjecture. (English) Zbl 1355.05050 Electron. J. Comb. 24, No. 1, Research Paper P1.38, 19 p. (2017). MSC: 05A30 05E05 PDF BibTeX XML Cite \textit{F. Bergeron}, Electron. J. Comb. 24, No. 1, Research Paper P1.38, 19 p. (2017; Zbl 1355.05050) Full Text: Link
Braun, Michael; Kiermaier, Michael; Kohnert, Axel; Laue, Reinhard Large sets of subspace designs. (English) Zbl 1352.05042 J. Comb. Theory, Ser. A 147, 155-185 (2017). MSC: 05B30 05B05 14M15 PDF BibTeX XML Cite \textit{M. Braun} et al., J. Comb. Theory, Ser. A 147, 155--185 (2017; Zbl 1352.05042) Full Text: DOI arXiv
Mursaleen, Mohammad; Rahman, Shagufta; Alotaibi, Abdullah Dunkl generalization of \(q\)-Szász-Mirakjan Kantorovich operators which preserve some test functions. (English) Zbl 1351.41012 J. Inequal. Appl. 2016, Paper No. 317, 18 p. (2016). MSC: 41A25 41A36 33C45 PDF BibTeX XML Cite \textit{M. Mursaleen} et al., J. Inequal. Appl. 2016, Paper No. 317, 18 p. (2016; Zbl 1351.41012) Full Text: DOI
Baiarystanov, A. O.; Persson, L. E.; Shaimardan, S.; Temirkhanova, A. Some new Hardy-type inequalities in \(q\)-analysis. (English) Zbl 1348.26009 J. Math. Inequal. 10, No. 3, 761-781 (2016). MSC: 26D10 26D15 33D05 39A13 PDF BibTeX XML Cite \textit{A. O. Baiarystanov} et al., J. Math. Inequal. 10, No. 3, 761--781 (2016; Zbl 1348.26009) Full Text: DOI
Braun, Michael New infinite series of 2-designs over the binary and ternary field. (English) Zbl 1343.05037 Des. Codes Cryptography 81, No. 1, 145-152 (2016). MSC: 05B05 05B30 05B25 PDF BibTeX XML Cite \textit{M. Braun}, Des. Codes Cryptography 81, No. 1, 145--152 (2016; Zbl 1343.05037) Full Text: DOI
Chien, Mao-Ting; Nakazato, Hiroshi; Undrakh, Batzorig; Vandanjav, Adiyasuren Determinantal polynomials of a weighted shift operator. (English) Zbl 1336.47035 Linear Multilinear Algebra 64, No. 1, 2-13 (2016). MSC: 47B37 47A12 PDF BibTeX XML Cite \textit{M.-T. Chien} et al., Linear Multilinear Algebra 64, No. 1, 2--13 (2016; Zbl 1336.47035) Full Text: DOI
Braun, Michael \(q\)-analogs of \(t\)-wise balanced designs from Borel subgroups. (English) Zbl 1348.51002 Des. Codes Cryptography 78, No. 2, 383-390 (2016). Reviewer: Sharad Sane (Mumbai) MSC: 51E20 51E10 05B05 PDF BibTeX XML Cite \textit{M. Braun}, Des. Codes Cryptography 78, No. 2, 383--390 (2016; Zbl 1348.51002) Full Text: DOI arXiv
Xua, Aimin A general rational sum identity. (English) Zbl 06749141 Filomat 29, No. 8, 1721-1727 (2015). MSC: 05A19 PDF BibTeX XML Cite \textit{A. Xua}, Filomat 29, No. 8, 1721--1727 (2015; Zbl 06749141) Full Text: DOI
Kiermaier, Michael; Pavčević, Mario Osvin Intersection numbers for subspace designs. (English) Zbl 1331.05049 J. Comb. Des. 23, No. 11, 463-480 (2015). MSC: 05B30 PDF BibTeX XML Cite \textit{M. Kiermaier} and \textit{M. O. Pavčević}, J. Comb. Des. 23, No. 11, 463--480 (2015; Zbl 1331.05049) Full Text: DOI arXiv
Nakić, Anamari; Pavčević, Mario Tactical decompositions of designs over finite fields. (English) Zbl 1328.05020 Des. Codes Cryptography 77, No. 1, 49-60 (2015). Reviewer: Esther R. Lamken (San Francisco) MSC: 05B05 05B20 05B30 PDF BibTeX XML Cite \textit{A. Nakić} and \textit{M. Pavčević}, Des. Codes Cryptography 77, No. 1, 49--60 (2015; Zbl 1328.05020) Full Text: DOI
Héger, Tamás; Patkós, Balázs; Takáts, Marcella Search problems in vector spaces. (English) Zbl 1329.68091 Des. Codes Cryptography 76, No. 2, 207-216 (2015). MSC: 68P10 51E20 PDF BibTeX XML Cite \textit{T. Héger} et al., Des. Codes Cryptography 76, No. 2, 207--216 (2015; Zbl 1329.68091) Full Text: DOI arXiv
Kiermaier, Michael; Laue, Reinhard Derived and residual subspace designs. (English) Zbl 1314.51002 Adv. Math. Commun. 9, No. 1, 105-115 (2015). MSC: 51E20 05B05 05B25 PDF BibTeX XML Cite \textit{M. Kiermaier} and \textit{R. Laue}, Adv. Math. Commun. 9, No. 1, 105--115 (2015; Zbl 1314.51002) Full Text: DOI arXiv
Borowiec, Andrzej; Pachoł, Anna \(\kappa \)-deformations and extended \(\kappa \)-Minkowski spacetimes. (English) Zbl 1310.81092 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 107, 24 p. (2014). MSC: 81R50 81T75 16T05 17B37 81R60 PDF BibTeX XML Cite \textit{A. Borowiec} and \textit{A. Pachoł}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 107, 24 p. (2014; Zbl 1310.81092) Full Text: DOI EMIS arXiv
Mansour, Toufik; Shattuck, Mark A \(q\)-analog of the hyperharmonic numbers. (English) Zbl 1306.11020 Afr. Mat. 25, No. 1, 147-160 (2014). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 05A19 11B73 PDF BibTeX XML Cite \textit{T. Mansour} and \textit{M. Shattuck}, Afr. Mat. 25, No. 1, 147--160 (2014; Zbl 1306.11020) Full Text: DOI
Etzion, Tuvi Covering of subspaces by subspaces. (English) Zbl 1342.51007 Des. Codes Cryptography 72, No. 2, 405-421 (2014). MSC: 51E10 05B40 94B25 PDF BibTeX XML Cite \textit{T. Etzion}, Des. Codes Cryptography 72, No. 2, 405--421 (2014; Zbl 1342.51007) Full Text: DOI arXiv
Schultz, Andrew; Walker, Robert A generalization of the Gaussian formula and a \(q\)-analog of Fleck’s congruence. (English) Zbl 1364.11054 J. Number Theory 133, No. 11, 3717-3738 (2013). MSC: 11B65 11A07 05A30 PDF BibTeX XML Cite \textit{A. Schultz} and \textit{R. Walker}, J. Number Theory 133, No. 11, 3717--3738 (2013; Zbl 1364.11054) Full Text: DOI arXiv
Bradley, David M.; Zhou, Xia A \(q\)-analog of Euler’s reduction formula for the double zeta function. (English) Zbl 1283.11127 Bailey, David H. (ed.) et al., Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. New York, NY: Springer (ISBN 978-1-4614-7620-7/hbk; 978-1-4614-7621-4/ebook). Springer Proceedings in Mathematics & Statistics 50, 113-126 (2013). MSC: 11M41 11M06 05A30 33E20 30B50 PDF BibTeX XML Cite \textit{D. M. Bradley} and \textit{X. Zhou}, in: Computational and analytical mathematics. In Honor of Jonathan Borwein's 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16--20, 2011. New York, NY: Springer. 113--126 (2013; Zbl 1283.11127) Full Text: DOI
Kordecki, Wojciech; Łyczkowska-Hanćkowiak, Anna Exact expectation and variance of minimal basis of random matroids. (English) Zbl 1294.05048 Discuss. Math., Graph Theory 33, No. 2, 277-288 (2013). MSC: 05B35 05C80 05C31 PDF BibTeX XML Cite \textit{W. Kordecki} and \textit{A. Łyczkowska-Hanćkowiak}, Discuss. Math., Graph Theory 33, No. 2, 277--288 (2013; Zbl 1294.05048) Full Text: DOI
Block, Florian \(q\)-floor diagrams computing refined Severi degrees for plane curves. (English. French summary) Zbl 1412.05028 Proceedings of the 24th international conference on formal power series and algebraic combinatorics, FPSAC 2012, Nagoya, Japan, July 30–August 3, 2012. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 911-922 (2012). MSC: 05A30 PDF BibTeX XML Cite \textit{F. Block}, in: Proceedings of the 24th international conference on formal power series and algebraic combinatorics, FPSAC 2012, Nagoya, Japan, July 30--August 3, 2012. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 911--922 (2012; Zbl 1412.05028) Full Text: Link
Kimoto, Kazufumi Quantum \(\alpha\)-determinants and \(q\)-deformations of hypergeometric polynomials. (English) Zbl 1329.17013 RIMS Kôkyûroku Bessatsu B36, 97-111 (2012). MSC: 17B37 33D45 33D80 PDF BibTeX XML Cite \textit{K. Kimoto}, RIMS Kôkyûroku Bessatsu B36, 97--111 (2012; Zbl 1329.17013)
Blokhuis, A.; Brouwer, A. E.; Szőnyi, T. On the chromatic number of \(q\)-Kneser graphs. (English) Zbl 1266.51008 Des. Codes Cryptography 65, No. 3, 187-197 (2012). Reviewer: Sharad Sane (Mumbai) MSC: 51E20 05B25 05D99 PDF BibTeX XML Cite \textit{A. Blokhuis} et al., Des. Codes Cryptography 65, No. 3, 187--197 (2012; Zbl 1266.51008) Full Text: DOI
Alegri, Mateus; De Mattos Brietzke, Eduardo Henrique; De Oliveira Santos, José Plínio; Da Silva, Robson Bijections between lattice paths and plane partitions. (English) Zbl 1242.05015 Open J. Discrete Math. 1, No. 3, 108-115 (2011). MSC: 05A17 11P84 PDF BibTeX XML Cite \textit{M. Alegri} et al., Open J. Discrete Math. 1, No. 3, 108--115 (2011; Zbl 1242.05015) Full Text: DOI
Kim, Jang Soo \(q\)-analog of tableau containment. (English) Zbl 1232.05237 J. Comb. Theory, Ser. A 118, No. 3, 1021-1038 (2011). MSC: 05E10 05A17 05A05 PDF BibTeX XML Cite \textit{J. S. Kim}, J. Comb. Theory, Ser. A 118, No. 3, 1021--1038 (2011; Zbl 1232.05237) Full Text: DOI arXiv
Kordecki, Wojciech; Łyczkowska-Hanćkowiak, Anna \(q\)-analogs of order statistics. (English) Zbl 1218.60040 Probab. Math. Stat. 30, No. 2, 207-214 (2010). MSC: 60G70 51E20 PDF BibTeX XML Cite \textit{W. Kordecki} and \textit{A. Łyczkowska-Hanćkowiak}, Probab. Math. Stat. 30, No. 2, 207--214 (2010; Zbl 1218.60040) Full Text: Link
Cheng, Yongsheng; Shi, Yiqian Quantization of the \(q\)-analog Virasoro-like algebras. (English) Zbl 1203.17006 J. Gen. Lie Theory Appl. 4, Article ID G090401, 12 p. (2010). Reviewer: Earl J. Taft (New Brunswick) MSC: 17B37 17B62 PDF BibTeX XML Cite \textit{Y. Cheng} and \textit{Y. Shi}, J. Gen. Lie Theory Appl. 4, Article ID G090401, 12 p. (2010; Zbl 1203.17006) Full Text: DOI
Kawashima, Gaku A generalization of the duality for finite multiple harmonic \(q\)-series. (English) Zbl 1267.11095 Ramanujan J. 21, No. 3, 335-347 (2010). MSC: 11M32 11B65 33D15 PDF BibTeX XML Cite \textit{G. Kawashima}, Ramanujan J. 21, No. 3, 335--347 (2010; Zbl 1267.11095) Full Text: DOI arXiv
Wu, Yina; Lin, Weiqiang Classification of Z-graded modules of the intermediate series over the \(q\)-analog Virasoro-like algebra. (English) Zbl 1260.17022 Algebra Colloq. 17, No. 2, 247-256 (2010). MSC: 17B68 17B10 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{W. Lin}, Algebra Colloq. 17, No. 2, 247--256 (2010; Zbl 1260.17022) Full Text: DOI Link arXiv
Ghressi, Abdallah; Khériji, Lotfi The symmetrical \(H_q\)-semiclassical orthogonal polynomials of class one. (English) Zbl 1188.33014 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 076, 22 p. (2009). MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{A. Ghressi} and \textit{L. Khériji}, SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 076, 22 p. (2009; Zbl 1188.33014) Full Text: DOI EMIS EuDML arXiv
Sivasubramanian, Sivaramakrishnan \(q\)-analogs of distance matrices of 3-hypertrees. (English) Zbl 1175.05037 Linear Algebra Appl. 431, No. 8, 1234-1248 (2009). MSC: 05C05 05C65 15A09 15A15 15A24 PDF BibTeX XML Cite \textit{S. Sivasubramanian}, Linear Algebra Appl. 431, No. 8, 1234--1248 (2009; Zbl 1175.05037) Full Text: DOI
Lecouvey, Cédric; Lenart, Cristian On \(q\)-analogs of weight multiplicities for the Lie superalgebras \(\mathfrak{gl}(n,m)\) and \(\mathfrak{spo}(2n,M)\). (English) Zbl 1232.17014 J. Algebr. Comb. 30, No. 2, 141-163 (2009). MSC: 17B10 05A30 05E10 PDF BibTeX XML Cite \textit{C. Lecouvey} and \textit{C. Lenart}, J. Algebr. Comb. 30, No. 2, 141--163 (2009; Zbl 1232.17014) Full Text: DOI arXiv
Cheng, Yongsheng; Shi, Yiqian Lie bialgebra structures on the \(q\)-analog Virasoro-like algebras. (English) Zbl 1268.17020 Commun. Algebra 37, No. 4, 1264-1274 (2009). Reviewer: Olaf Ninnemann (Berlin) MSC: 17B62 17B37 17B68 PDF BibTeX XML Cite \textit{Y. Cheng} and \textit{Y. Shi}, Commun. Algebra 37, No. 4, 1264--1274 (2009; Zbl 1268.17020) Full Text: DOI
Méndez, Miguel; Rodríguez, Adolfo A combinatorial model for \(q\)-generalized Stirling and Bell numbers. (English) Zbl 1393.05035 Proceedings of the 20th annual international conference on formal power series and algebraic combinatorics, FPSAC 2008, Viña del Mar, Chile, June 23–27, 2008. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 557-570 (2008). MSC: 05A15 05A30 33D15 PDF BibTeX XML Cite \textit{M. Méndez} and \textit{A. Rodríguez}, in: Proceedings of the 20th annual international conference on formal power series and algebraic combinatorics, FPSAC 2008, Viña del Mar, Chile, June 23--27, 2008. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 557--570 (2008; Zbl 1393.05035) Full Text: Link
Bundschuh, Peter; Zudilin, Wadim Rational approximations to a \(q\)-analogue of \(\pi\) and some other \(q\)-series. (English) Zbl 1213.11146 Schlickewei, Hans Peter (ed.) et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 123-139 (2008). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 11J82 33D15 PDF BibTeX XML Cite \textit{P. Bundschuh} and \textit{W. Zudilin}, Dev. Math. 16, 123--139 (2008; Zbl 1213.11146)
Zhou, Xia; Cai, Tianxin; Bradley, David M. Signed \(q\)-analogs of Tornheim’s double series. (English) Zbl 1204.11150 Proc. Am. Math. Soc. 136, No. 8, 2689-2698 (2008). MSC: 11M32 11M06 05A30 33E20 33D15 PDF BibTeX XML Cite \textit{X. Zhou} et al., Proc. Am. Math. Soc. 136, No. 8, 2689--2698 (2008; Zbl 1204.11150) Full Text: DOI arXiv
Bradley, David M. On the sum formula for multiple \(q\)-zeta values. (English) Zbl 1211.11098 Rocky Mt. J. Math. 37, No. 5, 1427-1434 (2007). MSC: 11M32 11B65 33D15 33E20 PDF BibTeX XML Cite \textit{D. M. Bradley}, Rocky Mt. J. Math. 37, No. 5, 1427--1434 (2007; Zbl 1211.11098) Full Text: DOI Euclid
Mohammed, Mohamud; Zeilberger, Doron Sharp upper bounds for the orders of the recurrences output by the Zeilberger and \(q\)-Zeilberger algorithms. (English) Zbl 1121.33023 J. Symb. Comput. 39, No. 2, 201-207 (2005). MSC: 33F10 65Q05 PDF BibTeX XML Cite \textit{M. Mohammed} and \textit{D. Zeilberger}, J. Symb. Comput. 39, No. 2, 201--207 (2005; Zbl 1121.33023) Full Text: DOI
Bradley, David M. Duality for finite multiple harmonic \(q\)-series. (English) Zbl 1085.11041 Discrete Math. 300, No. 1-3, 44-56 (2005). Reviewer: Tom M. Apostol (Pasadena) MSC: 11M32 11B65 33D15 PDF BibTeX XML Cite \textit{D. M. Bradley}, Discrete Math. 300, No. 1--3, 44--56 (2005; Zbl 1085.11041) Full Text: DOI arXiv
Bradley, David M. Multiple \(q\)-zeta values. (English) Zbl 1114.11075 J. Algebra 283, No. 2, 752-798 (2005). MSC: 11M32 11G55 33D15 PDF BibTeX XML Cite \textit{D. M. Bradley}, J. Algebra 283, No. 2, 752--798 (2005; Zbl 1114.11075) Full Text: DOI arXiv
Butler, Fred Rook theory and cycle-counting permutation statistics. (English) Zbl 1056.05001 Adv. Appl. Math. 33, No. 4, 655-675 (2004). MSC: 05A05 PDF BibTeX XML Cite \textit{F. Butler}, Adv. Appl. Math. 33, No. 4, 655--675 (2004; Zbl 1056.05001) Full Text: DOI
Kajiwara, Kenji; Kimura, Kinji On a \(q\)-difference Painlevé III equation. I: Derivation, symmetry and Riccati type solutions. (English) Zbl 1028.39006 J. Nonlinear Math. Phys. 10, No. 1, 86-102 (2003). Reviewer: Jacques Sauloy (Toulouse) MSC: 39A13 35Q58 37K60 PDF BibTeX XML Cite \textit{K. Kajiwara} and \textit{K. Kimura}, J. Nonlinear Math. Phys. 10, No. 1, 86--102 (2003; Zbl 1028.39006) Full Text: DOI
Liu, Zhi-Guo An expansion formula for \(q\)-series and applications. (English) Zbl 1044.05012 Ramanujan J. 6, No. 4, 429-447 (2002). MSC: 05A30 33D15 11E25 05A19 PDF BibTeX XML Cite \textit{Z.-G. Liu}, Ramanujan J. 6, No. 4, 429--447 (2002; Zbl 1044.05012) Full Text: DOI
Koelink, Erik; Stokman, Jasper V. The Askey-Wilson function transform scheme. (English) Zbl 0995.33012 Bustoz, Joaquin (ed.) et al., Special functions 2000: current perspective and future directions. Proceedings of the NATO Advanced Study Institute, Tempe, AZ, USA, May 29-June 9, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 30, 221-241 (2001). Reviewer: Angela Pasquale (Clausthal-Zellerfeld) MSC: 33D80 33D45 33C45 PDF BibTeX XML Cite \textit{E. Koelink} and \textit{J. V. Stokman}, NATO Sci. Ser. II, Math. Phys. Chem. 30, 221--241 (2001; Zbl 0995.33012) Full Text: arXiv
Choulet, Richard Irrationality results for two particular functions. (Des résultats d’irrationalité pour deux fonctions particulières.) (French) Zbl 1159.11316 Collect. Math. 52, No. 1, 1-20 (2001). MSC: 11J72 11J91 PDF BibTeX XML Cite \textit{R. Choulet}, Collect. Math. 52, No. 1, 1--20 (2001; Zbl 1159.11316) Full Text: Link EuDML
Frenkel, Igor B.; Jing, Naihuan; Wang, Weiqiang Quantum vertex representations via finite groups and the McKay correspondence. (English) Zbl 1011.17011 Commun. Math. Phys. 211, No. 2, 365-393 (2000). Reviewer: O.Ninnemann (Berlin) MSC: 17B37 17B69 PDF BibTeX XML Cite \textit{I. B. Frenkel} et al., Commun. Math. Phys. 211, No. 2, 365--393 (2000; Zbl 1011.17011) Full Text: DOI arXiv arXiv
Bonechi, F.; Giachetti, R.; Sorace, E.; Tarlini, M. Schrödinger equation on quantum homogeneous spaces. (English) Zbl 0927.22018 Clarkson, Peter A. (ed.) et al., Symmetries and integrability of difference equations. Proceedings of the 2nd international conference, Canterbury, UK, July 1–5, 1996. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 255, 387-401 (1999). Reviewer: A.A.Bogush (Minsk) MSC: 22E70 17B37 17B35 81R50 PDF BibTeX XML Cite \textit{F. Bonechi} et al., Lond. Math. Soc. Lect. Note Ser. 255, 387--401 (1999; Zbl 0927.22018)
Meng, Daoji; Jiang, Cuipo The derivation algebra and the universal central extension of the \(q\)-analog of the Virasoro-like algebra. (English) Zbl 0934.17011 Commun. Algebra 26, No. 4, 1335-1346 (1998). Reviewer: Volodymyr Mazorchuk (Kyïv) MSC: 17B37 17B68 PDF BibTeX XML Cite \textit{D. Meng} and \textit{C. Jiang}, Commun. Algebra 26, No. 4, 1335--1346 (1998; Zbl 0934.17011) Full Text: DOI
Mavronicolas, Marios A \(q\)-analog of approximation inclusion-exclusion. (English) Zbl 0897.05009 Adv. Appl. Math. 20, No. 1, 108-129 (1998). Reviewer: L.A.Székely (Columbia/South Carolina) MSC: 05A30 05A20 PDF BibTeX XML Cite \textit{M. Mavronicolas}, Adv. Appl. Math. 20, No. 1, 108--129 (1998; Zbl 0897.05009) Full Text: DOI
Dubois-Violette, Michel Generalized differential spaces with \(d^N=0\) and the \(q\)-differential calculus. (English) Zbl 0953.18004 Czech. J. Phys. 46, No. 12, 1227-1233 (1996). MSC: 18G60 16W35 18G30 18G35 58B32 81R50 PDF BibTeX XML Cite \textit{M. Dubois-Violette}, Czech. J. Phys. 46, No. 12, 1227--1233 (1996; Zbl 0953.18004) Full Text: DOI arXiv
Bougourzi, A. Hamid; Vinet, Luc A quantum analog of the \(\mathcal{Z}\) algebra. (English) Zbl 0871.17008 J. Math. Phys. 37, No. 7, 3548-3567 (1996). Reviewer: M.Primc (Zagreb) MSC: 17B37 81R50 17B67 PDF BibTeX XML Cite \textit{A. H. Bougourzi} and \textit{L. Vinet}, J. Math. Phys. 37, No. 7, 3548--3567 (1996; Zbl 0871.17008) Full Text: DOI arXiv
Jimbo, Michio; Sakai, Hidetaka A \(q\)-analog of the sixth Painlevé equation. (English) Zbl 0859.39006 Lett. Math. Phys. 38, No. 2, 145-154 (1996). Reviewer: E. Thandapani (Salem) MSC: 39A12 39A70 17B37 81R50 34B30 33D15 PDF BibTeX XML Cite \textit{M. Jimbo} and \textit{H. Sakai}, Lett. Math. Phys. 38, No. 2, 145--154 (1996; Zbl 0859.39006) Full Text: DOI
Thiery, Alain \(\mathbb{F}_ q\)-linear Galois theory. (English) Zbl 0861.11037 J. Lond. Math. Soc., II. Ser. 53, No. 3, 441-454 (1996). Reviewer: D.Goss (Columbus/Ohio) MSC: 11G09 12F10 PDF BibTeX XML Cite \textit{A. Thiery}, J. Lond. Math. Soc., II. Ser. 53, No. 3, 441--454 (1996; Zbl 0861.11037) Full Text: DOI
Vaksman, L. L. Integral interwining operators and quantum homogeneous spaces. (English. Russian original) Zbl 0936.17019 Theor. Math. Phys. 105, No. 3, 1476-1483 (1995); translation from Teor. Mat. Fiz. 105, No. 3, 355-363 (1995). MSC: 17B37 81R50 32M99 35J99 35C99 58B32 PDF BibTeX XML Cite \textit{L. L. Vaksman}, Theor. Math. Phys. 105, No. 3, 1476--1483 (1995; Zbl 0936.17019); translation from Teor. Mat. Fiz. 105, No. 3, 355--363 (1995) Full Text: DOI arXiv
Théorêt, Pierre Matrix relations for hyperbinomials. (Relations matricielles pour hyperbinomiales.) (French. Extended English abstract) Zbl 0844.05011 Ann. Sci. Math. Qué. 19, No. 2, 197-212 (1995). Reviewer: J.Cigler (Wien) MSC: 05A19 PDF BibTeX XML Cite \textit{P. Théorêt}, Ann. Sci. Math. Qué. 19, No. 2, 197--212 (1995; Zbl 0844.05011) Full Text: Link
Biedenharn, L. C.; Lohé, M. A. Quantum group symmetry and \(q\)-tensor algebras. (English) Zbl 0842.17011 Singapore: World Scientific. x, 293 p. (1995). Reviewer: A.N.Pressley (London) MSC: 17B37 17-01 81R50 PDF BibTeX XML Cite \textit{L. C. Biedenharn} and \textit{M. A. Lohé}, Quantum group symmetry and \(q\)-tensor algebras. Singapore: World Scientific (1995; Zbl 0842.17011)
Zeilberger, Doron The J. C. P. Miller recurrence for exponentiating a polynomial, and its \(q\)-analog. (English) Zbl 0838.05006 J. Difference Equ. Appl. 1, No. 1, 57-60 (1995). Reviewer: G.Gutin (Odense) MSC: 05A15 33C50 39A10 05A30 PDF BibTeX XML Cite \textit{D. Zeilberger}, J. Difference Equ. Appl. 1, No. 1, 57--60 (1995; Zbl 0838.05006) Full Text: DOI
Rawlings, Don Bernoulli trials and number theory. (English) Zbl 0840.11031 Am. Math. Mon. 101, No. 10, 948-952 (1994). Reviewer: D.Rawlings (San Luis) MSC: 11K99 60E05 11M41 PDF BibTeX XML Cite \textit{D. Rawlings}, Am. Math. Mon. 101, No. 10, 948--952 (1994; Zbl 0840.11031) Full Text: DOI
Wiegmann, P. B.; Zabrodin, A. V. Quantum group and magnetic translations. Bethe-Ansatz solution for Bloch electrons in a magnetic field. (English) Zbl 0818.17034 Alekseev, Anton (ed.) et al., Integrable models and strings. Proceedings of the 3rd Baltic RIM student seminar, held at Helsinki, Finland, 13-17 September 1993. Berlin: Springer-Verlag. Lect. Notes Phys. 436, 49-58 (1994). MSC: 17B81 81R50 35Q58 PDF BibTeX XML Cite \textit{P. B. Wiegmann} and \textit{A. V. Zabrodin}, Lect. Notes Phys. 436, 49--58 (1994; Zbl 0818.17034)
Minnaert, Pierre; Mozrzymas, Marek Clebsch-Gordan coefficients for the quantum superalgebra \(U_ q(osp(1| 2))\). (English) Zbl 0818.17015 J. Math. Phys. 35, No. 6, 3132-3145 (1994). MSC: 17B37 81R50 17A70 33D45 PDF BibTeX XML Cite \textit{P. Minnaert} and \textit{M. Mozrzymas}, J. Math. Phys. 35, No. 6, 3132--3145 (1994; Zbl 0818.17015) Full Text: DOI
Zhang, Shengli; Duan, Yishi The quantum group \(SU_ q(2)\) and \(q\)-analog of angular momentum operators in quantum mechanics. (English) Zbl 0812.47073 Int. J. Theor. Phys. 33, No. 6, 1229-1235 (1994). MSC: 47N50 81R50 81S05 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{Y. Duan}, Int. J. Theor. Phys. 33, No. 6, 1229--1235 (1994; Zbl 0812.47073) Full Text: DOI
Bundschuh, Peter; Väänänen, Keijo Arithmetical investigations of a certain infinite product. (English) Zbl 0802.11027 Compos. Math. 91, No. 2, 175-199 (1994). Reviewer: M.Waldschmidt (Paris) MSC: 11J72 11J61 11J82 PDF BibTeX XML Cite \textit{P. Bundschuh} and \textit{K. Väänänen}, Compos. Math. 91, No. 2, 175--199 (1994; Zbl 0802.11027) Full Text: Numdam EuDML
Aizawa, N. Tensor operators and Clebsch-Gordan coefficients of the quantum algebra \(su_ q(1,1)\). (English) Zbl 0785.17008 J. Math. Phys. 34, No. 5, 1937-1963 (1993). Reviewer: A.Klimyk (Kiev) MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{N. Aizawa}, J. Math. Phys. 34, No. 5, 1937--1963 (1993; Zbl 0785.17008) Full Text: DOI
Ramis, Jean-Pierre About the growth of entire functions solutions of linear algebraic \(q\)- difference equations. (English) Zbl 0796.39005 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 1, No. 1, 53-94 (1992). Reviewer: F.Gramain (Saint-Etienne) MSC: 39A10 30D15 30D05 39B32 PDF BibTeX XML Cite \textit{J.-P. Ramis}, Ann. Fac. Sci. Toulouse, Math. (6) 1, No. 1, 53--94 (1992; Zbl 0796.39005) Full Text: DOI Numdam EuDML
Sun, Changpu; Ge, Molin The \(q\)-analog of the boson algebra, its representation on the Fock space, and applications to the quantum group. (English) Zbl 0736.17012 J. Math. Phys. 32, No. 3, 595-598 (1991). MSC: 17B37 16W30 PDF BibTeX XML Cite \textit{C. Sun} and \textit{M. Ge}, J. Math. Phys. 32, No. 3, 595--598 (1991; Zbl 0736.17012) Full Text: DOI
Guan, Aiwen; Shi, He q-analog of Li Shan-Lan identity. (English) Zbl 0733.05008 Syst. Sci. Math. Sci. 3, No. 4, 308-326 (1990). MSC: 05A19 01A25 01A55 PDF BibTeX XML Cite \textit{A. Guan} and \textit{H. Shi}, Syst. Sci. Math. Sci. 3, No. 4, 308--326 (1990; Zbl 0733.05008)
Rosso, Marc Analogues de la forme de Killing et du théorème d’Harish-Chandra pour les groupes quantiques. (Analogues of the Killing form and of the Harish- Chandra theorem for quantum groups). (French) Zbl 0721.17012 Ann. Sci. Éc. Norm. Supér. (4) 23, No. 3, 445-467 (1990). Reviewer: V.Pestov (Novosibirsk) MSC: 17B37 PDF BibTeX XML Cite \textit{M. Rosso}, Ann. Sci. Éc. Norm. Supér. (4) 23, No. 3, 445--467 (1990; Zbl 0721.17012) Full Text: DOI Numdam EuDML
Chu, Wenchang Natural q-analogs of Gould-Hsu inversions. (English) Zbl 0716.05003 Math. Appl. 2, No. 1, 47-52 (1989). Reviewer: J.Cigler MSC: 05A30 PDF BibTeX XML Cite \textit{W. Chu}, Math. Appl. 2, No. 1, 47--52 (1989; Zbl 0716.05003)
Zeng, Jiang Records, antirecords et permutations discordantes. (Records, antirecords and discordant permutations). (French) Zbl 0709.05011 Eur. J. Comb. 10, No. 1, 103-109 (1989). MSC: 05A05 05A30 33C15 33C20 PDF BibTeX XML Cite \textit{J. Zeng}, Eur. J. Comb. 10, No. 1, 103--109 (1989; Zbl 0709.05011) Full Text: DOI
Habsieger, Laurent Une q-intégrale de Selberg et Askey. (q-integral of Selberg and Askey). (French) Zbl 0664.33001 SIAM J. Math. Anal. 19, No. 6, 1475-1489 (1988). Reviewer: D.M.Bressoud MSC: 33B15 33C80 05A19 PDF BibTeX XML Cite \textit{L. Habsieger}, SIAM J. Math. Anal. 19, No. 6, 1475--1489 (1988; Zbl 0664.33001) Full Text: DOI
Gupta, R. K. Characters and the \(q\)-analog of weight multiplicity. (English) Zbl 0649.17009 J. Lond. Math. Soc., II. Ser. 36, No. 1-2, 68-76 (1987). Reviewer: I. G. Macdonald (London) MSC: 17B10 17B20 17B22 22E46 PDF BibTeX XML Cite \textit{R. K. Gupta}, J. Lond. Math. Soc., II. Ser. 36, No. 1--2, 68--76 (1987; Zbl 0649.17009) Full Text: DOI
Andrews, George E. Catalan numbers, \(q\)-Catalan numbers and hypergeometric series. (English) Zbl 0607.05006 J. Comb. Theory, Ser. A 44, 267-273 (1987). Reviewer: D. M. Bressoud MSC: 05A30 11B73 05A15 33D15 PDF BibTeX XML Cite \textit{G. E. Andrews}, J. Comb. Theory, Ser. A 44, 267--273 (1987; Zbl 0607.05006) Full Text: DOI
Milne, S. C. A q-analog of the \(_5F_4(1)\) summation theorem for hypergeometric series well-poised in \(SU(n)\). (English) Zbl 0586.33010 Adv. Math. 57, 14-33 (1985). MSC: 33C80 33D05 PDF BibTeX XML Cite \textit{S. C. Milne}, Adv. Math. 57, 14--33 (1985; Zbl 0586.33010) Full Text: DOI
Hofbauer, Josef A q-analog of the Lagrange expansion. (English) Zbl 0549.05004 Arch. Math. 42, 536-544 (1984). Reviewer: J.Cigler MSC: 05A15 33-XX PDF BibTeX XML Cite \textit{J. Hofbauer}, Arch. Math. 42, 536--544 (1984; Zbl 0549.05004) Full Text: DOI
Stanton, Dennis Generalized n-gons and Chebyshev polynomials. (English) Zbl 0514.33011 J. Comb. Theory, Ser. A 34, 15-27 (1983). MSC: 33C45 05B30 PDF BibTeX XML Cite \textit{D. Stanton}, J. Comb. Theory, Ser. A 34, 15--27 (1983; Zbl 0514.33011) Full Text: DOI
Reiner, David L. A q-analog of the Campbell-Baker-Hausdorff formula. (English) Zbl 0497.17003 Discrete Math. 43, 125-129 (1983). MSC: 17B05 PDF BibTeX XML Cite \textit{D. L. Reiner}, Discrete Math. 43, 125--129 (1983; Zbl 0497.17003) Full Text: DOI
Gessel, Ira A noncommutative generalization and q-analog of the Lagrange inversion formula. (English) Zbl 0459.05014 Trans. Am. Math. Soc. 257, 455-482 (1980). MSC: 05A19 05A15 05C05 11P81 20M05 PDF BibTeX XML Cite \textit{I. Gessel}, Trans. Am. Math. Soc. 257, 455--482 (1980; Zbl 0459.05014) Full Text: DOI
Carlitz, Leonard Some \(q\)-expansion formulas. (English) Zbl 0267.33010 Glas. Mat., III. Ser. 8(28), 205-214 (1973). Reviewer: Leonard Carlitz (Durham, N.C.) MSC: 33D99 05A30 PDF BibTeX XML Cite \textit{L. Carlitz}, Glas. Mat., III. Ser. 8(28), 205--214 (1973; Zbl 0267.33010)
Hahn, Wolfgang Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen \(q\)-Differenzengleichung. Das \(q\)-Analogon der Laplace-Transformation. (German) Zbl 0033.05703 Math. Nachr. 2, 340-379 (1949). MSC: 33D15 44A10 PDF BibTeX XML Cite \textit{W. Hahn}, Math. Nachr. 2, 340--379 (1949; Zbl 0033.05703) Full Text: DOI