On the Triple Lauricella–Horn–Karlsson q-Hypergeometric Functions

Author:

Ernst Thomas

Abstract

The Horn–Karlsson approach to find convergence regions is applied to find convergence regions for triple q-hypergeometric functions. It turns out that the convergence regions are significantly increased in the q-case; just as for q-Appell and q-Lauricella functions, additions are replaced by Ward q-additions. Mostly referring to Krishna Srivastava 1956, we give q-integral representations for these functions.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference14 articles.

1. On the symmetric q-Lauricella functions;Ernst;Proc. Jangjeon Math. Soc.,2016

2. On Eulerian q-integrals for single and multiple q-hypergeometric series;Ernst;Commun. Korean Math. Soc.,2018

3. On various formulas with q-integrals and their applications to q-hypergeometric functions;Ernst;Eur. J. Pure Appl. Math.,2020

4. Further Results on Multiple q–Eulerian Integrals for Various q–Hypergeometric Functions;Ernst,2020

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