THREE-TERM CONTIGUOUS FUNCTIONAL RELATIONS FOR BASIC HYPERGEOMETRIC SERIES 2φ1

Title & Authors
THREE-TERM CONTIGUOUS FUNCTIONAL RELATIONS FOR BASIC HYPERGEOMETRIC SERIES 2φ1
KIM, YONG-SUP; RATHIE ARJUN K.; CHOI, JUNE-SANG;

Abstract
The authors aim mainly at giving fifteen three-term contiguous relations for the basic hypergeometric series $\small{series\;_2{\phi}_1}$ corresponding to Gauss's contiguous relations for the hypergeometric series $\small{series\;_2F_1}$ given in Rainville([6], p.71). They also apply them to obtain two summation formulas closely related to a known q-analogue of Kummer's theorem.
Keywords
basic hypergeometric series;q-analogue of Kummer's summation theorem;Gauss's summation theorem;Gauss's contiguous relations;
Language
English
Cited by
1.
A STUDY OF Q-CONTIGUOUS FUNCTION RELATIONS, Communications of the Korean Mathematical Society, 2016, 31, 1, 65
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