[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c170112

ON EULERIAN q-INTEGRALS FOR SINGLE AND MULTIPLE q-HYPERGEOMETRIC SERIES

Ernst, Thomas (Department of Mathematics Uppsala University)

Publication Information

Communications of the Korean Mathematical Society / v.33, no.1, 2018 , pp. 179-196 More about this Journal

Abstract

In this paper we extend the two q-additions with powers in the umbrae, define a q-multinomial-coefficient, which implies a vector version of the q-binomial theorem, and an arbitrary complex power of a JHC power series is shown to be equivalent to a special case of the first q-Lauricella function. We then present several q-analogues of hypergeometric integral formulas from the two books by Exton and the paper by Choi and Rathie. We also find multiple q-analogues of hypergeometric integral formulas from the recent paper by Kim. Finally, we prove several multiple q-hypergeometric integral formulas emanating from a paper by Koschmieder, which are special cases of more general formulas by Exton.

Keywords

Eulerian q-integral; q-multinomial-coefficient; Srivastava ${\triangle}$ notation; multiple q-beta function;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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