On intermediate q-Lauricella functions in the spirit of Karlsson, Chandel Singh and Gupta

Thomas Ernst

Abstract


The purpose of this article is to define some intermediate q-Lauricella functions, to find convergence regions in two different forms, and to prove corresponding reduction formulas by using a known lemma from our first book. These convergence regions are given in form of q-additions and q-real numbers. The third q-real number plays a special role in the computations. Generating functions are proved by using the q-binomial theorem. Finally, special cases of q-Lauricella functions as well as confluent forms in the spirit of Chandel Singh and Gupta are given.

Keywords


Intermediate q-Lauricella function; convergence region; q-additions; generating function

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References


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DOI: http://dx.doi.org/10.17951/a.2023.77.1.13-23
Date of publication: 2023-09-30 21:35:45
Date of submission: 2023-09-26 19:43:20


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