Adolphson, Alan; Sperber, Steven On the integrality of hypergeometric series whose coefficients are factorial ratios. (English) Zbl 1511.11096 Acta Arith. 200, No. 1, 39-59 (2021). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S80 14G99 33C70 PDFBibTeX XMLCite \textit{A. Adolphson} and \textit{S. Sperber}, Acta Arith. 200, No. 1, 39--59 (2021; Zbl 1511.11096) Full Text: DOI arXiv
Kashio, Tomokazu \(p\)-adic measures associated with zeta values and \(p\)-adic \(\log\) multiple gamma functions. (English) Zbl 1461.11153 Int. J. Number Theory 15, No. 5, 991-1007 (2019). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11R37 11S40 11S80 33B15 PDFBibTeX XMLCite \textit{T. Kashio}, Int. J. Number Theory 15, No. 5, 991--1007 (2019; Zbl 1461.11153) Full Text: DOI arXiv
Voit, Michael Continuous association schemes and hypergroups. (English) Zbl 1417.43004 J. Aust. Math. Soc. 106, No. 3, 361-426 (2019). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 43A62 05E30 33C67 20N20 43A90 PDFBibTeX XMLCite \textit{M. Voit}, J. Aust. Math. Soc. 106, No. 3, 361--426 (2019; Zbl 1417.43004) Full Text: DOI arXiv
Zolotarev, V. A.; Levchuk, V. N. On a function system making a basis in a weight space. (English) Zbl 1399.46014 Methods Funct. Anal. Topol. 23, No. 3, 261-269 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 46B15 33E10 42C30 PDFBibTeX XMLCite \textit{V. A. Zolotarev} and \textit{V. N. Levchuk}, Methods Funct. Anal. Topol. 23, No. 3, 261--269 (2017; Zbl 1399.46014) Full Text: Link
Merca, Mircea Connections between central factorial numbers and Bernoulli polynomials. (English) Zbl 1389.11056 Period. Math. Hung. 73, No. 2, 259-264 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11B68 33C50 PDFBibTeX XMLCite \textit{M. Merca}, Period. Math. Hung. 73, No. 2, 259--264 (2016; Zbl 1389.11056) Full Text: DOI
Delaygue, E.; Rivoal, T.; Roques, J. On Dwork’s \(p\)-adic formal congruences theorem and hypergeometric mirror maps. (English) Zbl 1382.11085 Mem. Am. Math. Soc. 1163, vi, 94 p. (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S80 14J32 33C70 PDFBibTeX XMLCite \textit{E. Delaygue} et al., On Dwork's \(p\)-adic formal congruences theorem and hypergeometric mirror maps. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1382.11085) Full Text: DOI arXiv
Grinevich, Petr G.; Novikov, Sergey P. Singular soliton operators and indefinite metrics. (English) Zbl 1319.34153 Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 809-840 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 34L40 47E05 47B50 47B25 33E10 34M05 34B24 34L05 PDFBibTeX XMLCite \textit{P. G. Grinevich} and \textit{S. P. Novikov}, Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 809--840 (2013; Zbl 1319.34153) Full Text: DOI arXiv
Yao, Jiayan Special values of fractional hypergeometric functions for function fields. (English. Abridged French version) Zbl 1264.11066 C. R., Math., Acad. Sci. Paris 350, No. 17-18, 801-806 (2012). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11J91 11R58 33E50 PDFBibTeX XMLCite \textit{J. Yao}, C. R., Math., Acad. Sci. Paris 350, No. 17--18, 801--806 (2012; Zbl 1264.11066) Full Text: DOI
Kim, T.; Choi, J.; Kim, Y. H.; Ryoo, C. S. On \(q\)-Bernstein and \(q\)-Hermite polynomials. (English) Zbl 1256.05024 Proc. Jangjeon Math. Soc. 14, No. 2, 215-221 (2011). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 05A30 05A19 33D45 PDFBibTeX XMLCite \textit{T. Kim} et al., Proc. Jangjeon Math. Soc. 14, No. 2, 215--221 (2011; Zbl 1256.05024) Full Text: arXiv
Fernandez, Rahul N.; Varadarajan, V. S.; Weisbart, David Airy functions over local fields. (English) Zbl 1195.11154 Lett. Math. Phys. 88, No. 1-3, 187-206 (2009). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S80 33E20 PDFBibTeX XMLCite \textit{R. N. Fernandez} et al., Lett. Math. Phys. 88, No. 1--3, 187--206 (2009; Zbl 1195.11154) Full Text: DOI arXiv
Gubreev, G. M.; Volkova, M. G. One remark about the unconditional exponential bases and cosine bases connected with them. (English) Zbl 1164.46005 Methods Funct. Anal. Topol. 14, No. 4, 330-333 (2008). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 46B15 33E12 42C30 PDFBibTeX XMLCite \textit{G. M. Gubreev} and \textit{M. G. Volkova}, Methods Funct. Anal. Topol. 14, No. 4, 330--333 (2008; Zbl 1164.46005)
Haran, Shai M. J. Arithmetical investigations. Representation theory, orthogonal polynomials, and quantum interpolations. (English) Zbl 1151.11004 Lecture Notes in Mathematics 1941. Berlin: Springer (ISBN 978-3-540-78378-7/pbk). xii, 217 p. (2008). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11-02 11S80 11S85 33D80 43A05 60B15 60J10 PDFBibTeX XMLCite \textit{S. M. J. Haran}, Arithmetical investigations. Representation theory, orthogonal polynomials, and quantum interpolations. Berlin: Springer (2008; Zbl 1151.11004) Full Text: DOI
Haran, M. J. Shai [Yamasaki, Yoshinori] Arithmetical investigations. Representation theory, orthogonal polynomials and quantum interpolations. With notes by Yoshinori Yamasaki. (English) Zbl 1120.11001 COE Lecture Note 2. Fukuoka: Kyushu University, The 21st Century COE Program “DMHF”. xviii, 175 p. (2006). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11-02 11S80 11S85 33D80 43A05 60B15 60J10 PDFBibTeX XMLCite \textit{M. J. S. Haran}, Arithmetical investigations. Representation theory, orthogonal polynomials and quantum interpolations. With notes by Yoshinori Yamasaki. Fukuoka: Kyushu University, The 21st Century COE Program ``DMHF'' (2006; Zbl 1120.11001)
Atakishiyev, N. M.; Klimyk, A. U. Jacobi matrix pair and dual alternative \(q\)-Charlier polynomials. (English) Zbl 1097.33014 Ukr. Mat. Zh. 57, No. 5, 614-621 (2005) and Ukr. Math. J. 57, No. 5, 728-737 (2005). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 33D45 33D80 47A57 47B36 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{A. U. Klimyk}, Ukr. Mat. Zh. 57, No. 5, 614--621 (2005; Zbl 1097.33014) Full Text: DOI
Akatsuka, Hirotaka Functional equations for absolute tensor products. (English) Zbl 1089.11048 J. Ramanujan Math. Soc. 20, No. 2, 91-105 (2005). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11M41 33B15 PDFBibTeX XMLCite \textit{H. Akatsuka}, J. Ramanujan Math. Soc. 20, No. 2, 91--105 (2005; Zbl 1089.11048)
Simsek, Yilmaz; Kim, Daeyeoul; Rim, Seog-Hoon On the two-variable Dirichlet \(q\)-\(L\)-series. (English) Zbl 1073.11071 Adv. Stud. Contemp. Math., Kyungshang 10, No. 2, 131-142 (2005). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S40 11B68 33D05 PDFBibTeX XMLCite \textit{Y. Simsek} et al., Adv. Stud. Contemp. Math., Kyungshang 10, No. 2, 131--142 (2005; Zbl 1073.11071) Full Text: arXiv
Kim, T. A note on the \(q\)-multiple zeta function. (English) Zbl 1081.11061 Adv. Stud. Contemp. Math., Kyungshang 8, No. 2, 111-113 (2004). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11M41 11B68 33D15 PDFBibTeX XMLCite \textit{T. Kim}, Adv. Stud. Contemp. Math., Kyungshang 8, No. 2, 111--113 (2004; Zbl 1081.11061)
Oblomkov, Alexei Double affine Hecke algebras of rank 1 and affine cubic surfaces. (English) Zbl 1078.20005 Int. Math. Res. Not. 2004, No. 18, 877-912 (2004). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 20C08 33D80 33D52 05E35 14J10 14R10 PDFBibTeX XMLCite \textit{A. Oblomkov}, Int. Math. Res. Not. 2004, No. 18, 877--912 (2004; Zbl 1078.20005) Full Text: DOI arXiv
Atakishiyev, M. N.; Groza, V. A.; Klimyk, A. U. Representations of the quantum algebra \(U_q(su_2)\) and affine \(q\)-Krawtchouk polynomials. (English) Zbl 1098.17007 Methods Funct. Anal. Topol. 10, No. 1, 1-8 (2004). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 17B37 33D45 81R50 PDFBibTeX XMLCite \textit{M. N. Atakishiyev} et al., Methods Funct. Anal. Topol. 10, No. 1, 1--8 (2004; Zbl 1098.17007)
Lian, Bong H.; Yau, Shing-Tung The \(n\)th root of the mirror map. (English) Zbl 1048.11049 Yui, Noriko (ed.) et al., Calabi-Yau varieties and mirror symmetry. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3355-3/hbk). Fields Inst. Commun. 38, 195-199 (2003). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11G25 34M15 12H25 14J32 32Q25 33C20 PDFBibTeX XMLCite \textit{B. H. Lian} and \textit{S.-T. Yau}, Fields Inst. Commun. 38, 195--199 (2003; Zbl 1048.11049)
van Hamme, Lucien \(p\)-adic analysis and the calculus of finite differences. (English) Zbl 1038.11077 Schikhof, W. H. (ed.) et al., Ultrametric functional analysis. Proceedings of the seventh international conference on \(p\)-adic functional analysis, Nijmegen, The Netherlands, June 17–21, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2889-4/pbk). Contemp. Math. 319, 413-422 (2003). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S80 11B68 33C45 46S10 PDFBibTeX XMLCite \textit{L. van Hamme}, Contemp. Math. 319, 413--422 (2003; Zbl 1038.11077)
Kim, Taekyun Non-archimedean integration. (English) Zbl 1093.11072 Adv. Stud. Contemp. Math., Kyungshang 7, No. 2, 215-222 (2003). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S80 11B68 33D15 PDFBibTeX XMLCite \textit{T. Kim}, Adv. Stud. Contemp. Math., Kyungshang 7, No. 2, 215--222 (2003; Zbl 1093.11072)
Ok, Bo Myoung; Seo, Tae Young Note on the multiple gamma functions. (English) Zbl 1068.33004 EAMJ, East Asian Math. J. 18, No. 2, 219-224 (2002). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 33B99 11M06 11M35 PDFBibTeX XMLCite \textit{B. M. Ok} and \textit{T. Y. Seo}, EAMJ, East Asian Math. J. 18, No. 2, 219--224 (2002; Zbl 1068.33004)
Lindlbauer, Marc; Voit, Michael Limit theorems for isotropic random walks on triangle buildings. (English) Zbl 1028.60005 J. Aust. Math. Soc. 73, No. 3, 301-333 (2002). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 60B15 60F05 33D52 20E42 43A62 60F15 PDFBibTeX XMLCite \textit{M. Lindlbauer} and \textit{M. Voit}, J. Aust. Math. Soc. 73, No. 3, 301--333 (2002; Zbl 1028.60005) Full Text: DOI
Atakishiyev, N. M.; Klimyk, A. U. Diagonalization of representation operators for the quantum algebra \(U_q(su_{1,1})\). (English) Zbl 1005.17009 Methods Funct. Anal. Topol. 8, No. 3, 1-12 (2002). Reviewer: A.N.Kochubei (Kyïv) MSC: 17B37 33D45 81R50 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{A. U. Klimyk}, Methods Funct. Anal. Topol. 8, No. 3, 1--12 (2002; Zbl 1005.17009)
Terasoma, Tomohide Selberg integrals and multiple zeta values. (English) Zbl 1003.11042 Compos. Math. 133, No. 1, 1-24 (2002). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 11M41 33C70 32G15 PDFBibTeX XMLCite \textit{T. Terasoma}, Compos. Math. 133, No. 1, 1--24 (2002; Zbl 1003.11042) Full Text: DOI arXiv
Kac, Victor; Cheung, Pokman Quantum calculus. (English) Zbl 0986.05001 Universitext. New York, NY: Springer. ix, 112 p. (2002). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 05-01 05A30 33-01 11B65 11B68 33D05 05A17 33D15 11-01 PDFBibTeX XMLCite \textit{V. Kac} and \textit{P. Cheung}, Quantum calculus. New York, NY: Springer (2002; Zbl 0986.05001)
Cherednik, Ivan One-dimensional double Hecke algebra and Gaussian sums. (English) Zbl 1007.11050 Duke Math. J. 108, No. 3, 511-538 (2001). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 11L05 20C08 33D80 PDFBibTeX XMLCite \textit{I. Cherednik}, Duke Math. J. 108, No. 3, 511--538 (2001; Zbl 1007.11050) Full Text: DOI
Kim, Taekyun A note on \(q\)-multiple zeta functions. (English) Zbl 1007.11010 J. Phys. A, Math. Gen. 34, No. 46, L643-L646 (2001). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 11B68 11M41 33D99 11S80 PDFBibTeX XMLCite \textit{T. Kim}, J. Phys. A, Math. Gen. 34, No. 46, L643--L646 (2001; Zbl 1007.11010) Full Text: DOI
Boylan, Matthew Congruences for \(_2F_1\) hypergeometric functions over finite fields. (English) Zbl 1017.11064 Ramanujan J. 5, No. 4, 385-390 (2001). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 11T24 33E50 33C05 PDFBibTeX XMLCite \textit{M. Boylan}, Ramanujan J. 5, No. 4, 385--390 (2001; Zbl 1017.11064) Full Text: DOI
Oleshchuk, Piotr Laguerre entire functions and Sturm-Liouville hypergroups. (English) Zbl 0983.43003 Methods Funct. Anal. Topol. 7, No. 3, 67-79 (2001). Reviewer: A.N.Kochubei (Kyïv) MSC: 43A62 33C45 46F05 30D15 PDFBibTeX XMLCite \textit{P. Oleshchuk}, Methods Funct. Anal. Topol. 7, No. 3, 67--79 (2001; Zbl 0983.43003)
Cherednik, Ivan On \(q\)-analogues of Riemann’s zeta function. (English) Zbl 1001.11033 Sel. Math., New Ser. 7, No. 4, 447-491 (2001). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 11M41 05A30 33D05 33E99 11B65 43A90 PDFBibTeX XMLCite \textit{I. Cherednik}, Sel. Math., New Ser. 7, No. 4, 447--491 (2001; Zbl 1001.11033) Full Text: DOI arXiv Backlinks: MO
Kim, Taekyun; Park, Dal-Won; Rim, Seog-Hoon On multivariate \(p\)-adic \(q\)-integrals. (English) Zbl 1002.11088 J. Phys. A, Math. Gen. 34, No. 37, 7633-7638 (2001). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 11S80 11S40 33D05 PDFBibTeX XMLCite \textit{T. Kim} et al., J. Phys. A, Math. Gen. 34, No. 37, 7633--7638 (2001; Zbl 1002.11088) Full Text: DOI
Denis, Remy Y.; Singh, S. N. Certain results involving \(q\)-series and continued fractions. (English) Zbl 1018.33012 Far East J. Math. Sci. (FJMS) 3, No. 5, 731-737 (2001). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 33D15 33D05 PDFBibTeX XMLCite \textit{R. Y. Denis} and \textit{S. N. Singh}, Far East J. Math. Sci. (FJMS) 3, No. 5, 731--737 (2001; Zbl 1018.33012)
Volchkov, V. V.; Volchkov, Vit. V. New integral representations for a hypergeometric function. (English. Russian original) Zbl 0990.33002 Ukr. Math. J. 53, No. 4, 493-498 (2001); translation from Ukr. Mat. Zh. 53, No. 4, 435-440 (2001). Reviewer: A.N.Kochubei (Kyïv) MSC: 33C05 33C80 PDFBibTeX XMLCite \textit{V. V. Volchkov} and \textit{Vit. V. Volchkov}, Ukr. Mat. Zh. 53, No. 4, 435--440 (2001; Zbl 0990.33002); translation from Ukr. Mat. Zh. 53, No. 4, 435--440 (2001) Full Text: DOI
Sixdeniers, J.-M.; Penson, K. A.; Solomon, A. I. Extended Bell and Stirling numbers from hypergeometric exponentiation. (English) Zbl 0973.11023 J. Integer Seq. 4, No. 1, Art. 01.1.4, 11 p. (2001). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 11B73 33C20 PDFBibTeX XMLCite \textit{J. M. Sixdeniers} et al., J. Integer Seq. 4, No. 1, Art. 01.1.4, 11 p. (2001; Zbl 0973.11023) Full Text: arXiv EuDML EMIS
Kim, Taekyun; Rim, Seog-Hoon A note on the \(q\)-integral and \(q\)-series. (English) Zbl 0976.05008 Adv. Stud. Contemp. Math., Pusan 2, 37-45 (2000). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 05A30 11B39 33D05 PDFBibTeX XMLCite \textit{T. Kim} and \textit{S.-H. Rim}, Adv. Stud. Contemp. Math., Pusan 2, 37--45 (2000; Zbl 0976.05008)
Frappier, Clément Generalized Bernoulli polynomials and series. (English) Zbl 0981.11008 Bull. Aust. Math. Soc. 61, No. 2, 289-304 (2000). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 11B68 33C10 65B15 PDFBibTeX XMLCite \textit{C. Frappier}, Bull. Aust. Math. Soc. 61, No. 2, 289--304 (2000; Zbl 0981.11008) Full Text: DOI
Dragovich, Branko On \(p\)-adic power series. (English) Zbl 0938.11060 Kąkol, J. (ed.) et al., \(p\)-adic functional analysis. Proceedings of the 5th international conference in Poznań, Poland, June 1-5, 1998. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 207, 65-75 (1999). Reviewer: Anatoly N.Kochubei (Kiev) MSC: 11S80 11B83 33C20 40A05 PDFBibTeX XMLCite \textit{B. Dragovich}, Lect. Notes Pure Appl. Math. 207, 65--75 (1999; Zbl 0938.11060) Full Text: arXiv
Tsumura, Hirofumi A note on \(q\)-analogues of Dirichlet series. (English) Zbl 0931.11031 Proc. Japan Acad., Ser. A 75, No. 3, 23-25 (1999). Reviewer: Anatoly N.Kochubei (Kiev) MSC: 11M41 33D05 PDFBibTeX XMLCite \textit{H. Tsumura}, Proc. Japan Acad., Ser. A 75, No. 3, 23--25 (1999; Zbl 0931.11031) Full Text: DOI
Son, Jin-Woo; Kim, Min-Soo On poly-Eulerian numbers. (English) Zbl 0948.11011 Bull. Korean Math. Soc. 36, No. 1, 47-61 (1999). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 11B68 11S80 33B30 PDFBibTeX XMLCite \textit{J.-W. Son} and \textit{M.-S. Kim}, Bull. Korean Math. Soc. 36, No. 1, 47--61 (1999; Zbl 0948.11011)
Voit, Michael Asymptotic of heat kernels on projective spaces of large dimensions and on disk hypergroups. (English) Zbl 0922.60017 Math. Nachr. 194, 225-238 (1998). Reviewer: Anatoly N.Kochubei (Kiev) MSC: 60B15 60F05 58J65 33C45 42C10 43A62 PDFBibTeX XMLCite \textit{M. Voit}, Math. Nachr. 194, 225--238 (1998; Zbl 0922.60017) Full Text: DOI
Pilipenko, A. Yu. On local operators diagonal with respect to the system of Hermite polynomials. (English. Russian original) Zbl 0943.47026 Ukr. Math. J. 47, No. 4, 645-653 (1995); translation from Ukr. Mat. Zh. 47, No. 4, 555-561 (1995). Reviewer: A.N.Kochubei (Kyïv) MSC: 47B38 47B25 33C45 PDFBibTeX XMLCite \textit{A. Yu. Pilipenko}, Ukr. Mat. Zh. 47, No. 4, 555--561 (1995; Zbl 0943.47026); translation from Ukr. Mat. Zh. 47, No. 4, 555--561 (1995) Full Text: DOI