q-derivatives of multivariable q-hypergeometric function with respect to their parameters

We consider the q-derivatives of the Srivastava and Daoust basic multivariable hypergeometric function with respect to the parameters. This function embodies a entire number of various q-hypergeometric series of one and several variables. Explicit equations are given for general case of summation in...

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Bibliographic Details
Published in:	arXiv.org
Main Authors:	Bytev, V, Zhang, Pengming
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 08.09.2020
Subjects:	Derivatives Hypergeometric functions Parameters
ISSN:	2331-8422
Online Access:	Get full text
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Summary:	We consider the q-derivatives of the Srivastava and Daoust basic multivariable hypergeometric function with respect to the parameters. This function embodies a entire number of various q-hypergeometric series of one and several variables. Explicit equations are given for general case of summation indexes with positive real coefficients. As an example derivatives of q-analog of non-confluent Horn type hypergeometric function \(H_3\) is presented.
Bibliography:	SourceType-Working Papers-1 ObjectType-Working Paper/Pre-Print-1 content type line 50
ISSN:	2331-8422
DOI:	10.48550/arxiv.2008.09357