New transformation and reduction formulae for double q-Clausen series

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:402

Article

Zhang, Wenlong

关键词: Double q-Clausen series;    Basic hypergeometric series;    The q-analogue of Kummer-Thomae-Whipple transformation;    The Hall transformation;    Bibasic reduction formulae;   

DOI  :  10.1016/j.jmaa.2013.01.050

来源: Elsevier

【 摘 要 】

The Sears transformations for non-terminating (3)phi(2)-series are applied to derive several general series transformations for another two double q-Clausen series of type Phi(1:2;lambda)(2:0;mu) and Phi(0:3;lambda)(2:0;mu). Further new transformations and reduction formulae are established for the basic Clausen hypergeometric series. In particular, several bibasic reduction formulae are obtained. (c) 2013 Elsevier Inc. All rights reserved.

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