THREE-TERM CONTIGUOUS FUNCTIONAL RELATIONS FOR BASIC HYPERGEOMETRIC SERIES2φ1

DOI10.4134/CKMS.2005.20.2.395zbMath1086.33016OpenAlexW781379260MaRDI QIDQ3370003

Junesang Choi, Yong Sup Kim, Arjun K. Rathie

Publication date: 6 February 2006

Published in: Communications of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/ckms.2005.20.2.395

zbMATH Keywords

basic hypergeometric seriesGauss's summation theoremGauss's contiguous relationsq-analoque of Kummer's summation theorem

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Generalized hypergeometric series, ({}_pF_q) (33C20) (q)-gamma functions, (q)-beta functions and integrals (33D05) Basic hypergeometric integrals and functions defined by them (33D60)

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Quasi-orthogonality and zeros of some \({}_2 \phi_2\) and \({}_3 \phi_2\) polynomials ⋮ Some new identities of Rogers-Ramanujan type

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