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:Physics of particles and nuclei letters Vol. 18; no. 3; pp. 284 - 289
Main Authors: Bytev, V. V., Zhang, P.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.05.2021
Springer Nature B.V
Subjects:
Hypergeometric functions
Parameters
Particle and Nuclear Physics
Physics
Physics and Astronomy
Physics of Elementary Particles and Atomic Nuclei. Theory
ISSN:1547-4771, 1531-8567
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 is presented.
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ISSN:1547-4771
1531-8567
DOI:10.1134/S1547477121030067