Chu, Wenchang Analytical formulae for extended \(_{3}F_{2}\)-series of Watson-Whipple-Dixon with two extra integer parameters. (English) Zbl 1236.33013 Math. Comput. 81, No. 277, 467-479 (2012). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C20 05A10 PDFBibTeX XMLCite \textit{W. Chu}, Math. Comput. 81, No. 277, 467--479 (2012; Zbl 1236.33013) Full Text: DOI
Guo, Victor J. W.; Zeng, Jiang Pairs of lattice paths and positive trigonometric sums. (English) Zbl 1203.42001 Constr. Approx. 32, No. 1, 67-75 (2010). Reviewer: Stamatis Koumandos (Nicosia) MSC: 42A05 05A10 26D05 42A32 05A15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J. Zeng}, Constr. Approx. 32, No. 1, 67--75 (2010; Zbl 1203.42001) Full Text: DOI arXiv Link
Moll, Victor H.; Manna, Dante V. A remarkable sequence of integers. (English) Zbl 1207.11026 Expo. Math. 27, No. 4, 289-312 (2009). Reviewer: Stamatis Koumandos (Nicosia) MSC: 11B50 05A10 11B30 05A15 PDFBibTeX XMLCite \textit{V. H. Moll} and \textit{D. V. Manna}, Expo. Math. 27, No. 4, 289--312 (2009; Zbl 1207.11026) Full Text: DOI arXiv
Ernst, Thomas A renaissance for a \(q\)-umbral calculus. (English) Zbl 1125.33014 Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 178-188 (2007). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 05A30 05A40 PDFBibTeX XMLCite \textit{T. Ernst}, in: Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25--30, 2005. Hackensack, NJ: World Scientific. 178--188 (2007; Zbl 1125.33014)
García Ravelo, J.; Cuevas, R.; Queijeiro, A.; Peña, J. J.; Morales, J. Chebyshev functions of half-integer order. (English) Zbl 1124.33014 Integral Transforms Spec. Funct. 18, No. 10, 743-749 (2007). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C47 33C45 05E35 PDFBibTeX XMLCite \textit{J. García Ravelo} et al., Integral Transforms Spec. Funct. 18, No. 10, 743--749 (2007; Zbl 1124.33014) 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
Kang, Soon-Yi Generalizations of Ramanujan’s reciprocity theorem and their applications. (English) Zbl 1120.33015 J. Lond. Math. Soc., II. Ser. 75, No. 1, 18-34 (2007). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 11B65 05A15 PDFBibTeX XMLCite \textit{S.-Y. Kang}, J. Lond. Math. Soc., II. Ser. 75, No. 1, 18--34 (2007; Zbl 1120.33015) Full Text: DOI
Fang, Jian-Ping \(q\)-differential operator identities and applications. (English) Zbl 1114.33023 J. Math. Anal. Appl. 332, No. 2, 1393-1407 (2007). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 33D90 33D45 05A30 PDFBibTeX XMLCite \textit{J.-P. Fang}, J. Math. Anal. Appl. 332, No. 2, 1393--1407 (2007; Zbl 1114.33023) Full Text: DOI
Jaimini, B. B.; Nagar, Harish; Srivastava, H. M. Certain classes of generating relations associated with single and multiple hypergeometric functions. (English) Zbl 1083.33005 Adv. Stud. Contemp. Math., Kyungshang 12, No. 1, 131-142 (2006). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C20 33C65 33C70 33C50 05A19 PDFBibTeX XMLCite \textit{B. B. Jaimini} et al., Adv. Stud. Contemp. Math., Kyungshang 12, No. 1, 131--142 (2006; Zbl 1083.33005)
Lomont, J. S. Formulas for power of the hyperbolic tangent with an application to higher-order tangent numbers. (English) Zbl 1081.33003 Rocky Mt. J. Math. 35, No. 4, 1217-1231 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33B10 05E05 41A58 PDFBibTeX XMLCite \textit{J. S. Lomont}, Rocky Mt. J. Math. 35, No. 4, 1217--1231 (2005; Zbl 1081.33003) Full Text: DOI
Zhang, Zhizheng; Wang, Jun Two operator identities and their applications to terminating basic hypergeometric series and \(q\)-integrals. (English) Zbl 1081.33032 J. Math. Anal. Appl. 312, No. 2, 653-665 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 33D05 05A30 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{J. Wang}, J. Math. Anal. Appl. 312, No. 2, 653--665 (2005; Zbl 1081.33032) Full Text: DOI
Rajković, Predrag M.; Marinković, Sladjana D.; Stanković, Miomir S. Finding the zeros of the functions treated by \(q\)-calculus. (English) Zbl 1087.33009 Mladenov, Ivaïlo M.(ed.) et al., Proceedings of the 6th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 3–10, 2004. Sofia: Bulgarian Academy of Sciences (ISBN 954-84952-9-5/pbk). 284-286 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 05A30 33D90 33D60 PDFBibTeX XMLCite \textit{P. M. Rajković} et al., in: Proceedings of the 6th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 3--10, 2004. Sofia: Bulgarian Academy of Sciences. 284--286 (2005; Zbl 1087.33009)
Díaz, Rafael; Teruel, Carolina \(q,k\)-generalized gamma and beta functions. (English) Zbl 1075.33010 J. Nonlinear Math. Phys. 12, No. 1, 118-134 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D05 33B15 33D99 05A30 PDFBibTeX XMLCite \textit{R. Díaz} and \textit{C. Teruel}, J. Nonlinear Math. Phys. 12, No. 1, 118--134 (2005; Zbl 1075.33010) Full Text: DOI arXiv
Berkovich, Alexander; Warnaar, S. Ole Positivity preserving transformations for \(q\)-binomial coefficients. (English) Zbl 1061.33015 Trans. Am. Math. Soc. 357, No. 6, 2291-2351 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 33D45 33C20 05A30 PDFBibTeX XMLCite \textit{A. Berkovich} and \textit{S. O. Warnaar}, Trans. Am. Math. Soc. 357, No. 6, 2291--2351 (2005; Zbl 1061.33015) Full Text: DOI arXiv
Bryc, Wlodzimierz; Matysiak, Wojciech; Szablowski, Paweł J. Probabilistic aspects of Al-Salam–Chihara polynomials. (English) Zbl 1074.33015 Proc. Am. Math. Soc. 133, No. 4, 1127-1134 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 05A30 15A15 42C05 PDFBibTeX XMLCite \textit{W. Bryc} et al., Proc. Am. Math. Soc. 133, No. 4, 1127--1134 (2005; Zbl 1074.33015) Full Text: DOI arXiv
Terwilliger, Paul; Vidunas, Raimundas Leonard pairs and the Askey-Wilson relations. (English) Zbl 1062.33018 J. Algebra Appl. 3, No. 4, 411-426 (2004). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 05A30 15A03 PDFBibTeX XMLCite \textit{P. Terwilliger} and \textit{R. Vidunas}, J. Algebra Appl. 3, No. 4, 411--426 (2004; Zbl 1062.33018) Full Text: DOI arXiv
Kim, Taekyun; Somashekara, D. D.; Fathima, Syeda Noor On a generalization of Jacobi’s triple product identity and its applications. (English) Zbl 1062.33017 Adv. Stud. Contemp. Math., Kyungshang 9, No. 2, 165-174 (2004). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 05A30 33E20 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 9, No. 2, 165--174 (2004; Zbl 1062.33017)
Chan, Song Heng Dissections of quotients of theta-functions. (English) Zbl 1090.33500 Bull. Aust. Math. Soc. 69, No. 1, 19-24 (2004). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33E05 05A30 33D15 PDFBibTeX XMLCite \textit{S. H. Chan}, Bull. Aust. Math. Soc. 69, No. 1, 19--24 (2004; Zbl 1090.33500) Full Text: DOI
Chen, William Y. C.; Fu, Amy M. Cauchy augmentation for basic hypergeometric series. (English) Zbl 1052.33016 Bull. Lond. Math. Soc. 36, No. 2, 169-175 (2004). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 05A30 PDFBibTeX XMLCite \textit{W. Y. C. Chen} and \textit{A. M. Fu}, Bull. Lond. Math. Soc. 36, No. 2, 169--175 (2004; Zbl 1052.33016) Full Text: DOI
Ernst, Thomas A method for \(q\)-calculus. (English) Zbl 1041.33013 J. Nonlinear Math. Phys. 10, No. 4, 487-525 (2003). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 33D45 05A30 PDFBibTeX XMLCite \textit{T. Ernst}, J. Nonlinear Math. Phys. 10, No. 4, 487--525 (2003; Zbl 1041.33013) Full Text: DOI
Zhang, Yusen; Wang, Tianming A formula containing four independent bases and its applications. (English) Zbl 1035.05013 J. Math. Res. Expo. 23, No. 2, 247-252 (2003). Reviewer: Stamatis Koumandos (Nicosia) MSC: 05A19 33D15 33C20 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{T. Wang}, J. Math. Res. Expo. 23, No. 2, 247--252 (2003; Zbl 1035.05013)
Dattoli, G.; Ricci, P. E.; Cesarano, C. The Lagrange polynomials, the associated generalizations, and the umbral calculus. (English) Zbl 1032.33007 Integral Transforms Spec. Funct. 14, No. 2, 181-186 (2003). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C70 05A40 44A20 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Integral Transforms Spec. Funct. 14, No. 2, 181--186 (2003; Zbl 1032.33007) Full Text: DOI
Ismail, Mourad E. H.; Rahman, Mizan Inverse operators, \(q\)-fractional integrals, and \(q\)-Bernoulli polynomials. (English) Zbl 0997.33008 J. Approximation Theory 114, No. 2, 269-307 (2002). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 05A30 26A33 39A13 33D15 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{M. Rahman}, J. Approx. Theory 114, No. 2, 269--307 (2002; Zbl 0997.33008) Full Text: DOI