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http://dx.doi.org/10.4134/CKMS.c170121

RECURSION FORMULAS FOR q-HYPERGEOMETRIC AND q-APPELL SERIES  

Sahai, Vivek (Department of Mathematics and Astronomy Lucknow University)
Verma, Ashish (Department of Mathematical and Statistical Sciences Shri Ramswaroop Memorial University)
Publication Information
Communications of the Korean Mathematical Society / v.33, no.1, 2018 , pp. 207-236 More about this Journal
Abstract
We obtain recursion formulas for q-hypergeometric and q-Appell series. We also find recursion formulas for the general double q-hypergeometric series. It is shown that these recursion relations can be expressed in terms of q-derivatives of the respective q-hypergeometric series.
Keywords
recursion formulas; generalized basic hypergeometric series; q-Appell series; general double q-hypergeometric series;
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Times Cited By KSCI : 1  (Citation Analysis)
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