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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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
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Abstract 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.
AbstractList 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.
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.
Author Zhang, P.
Bytev, V. V.
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  email: zhangpm5@mail.sysu.edu.cn
  organization: School of Physics and Astronomy, Sun Yat-sen University
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Copyright Pleiades Publishing, Ltd. 2021. ISSN 1547-4771, Physics of Particles and Nuclei Letters, 2021, Vol. 18, No. 3, pp. 284–289. © Pleiades Publishing, Ltd., 2021.
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Parameters
Particle and Nuclear Physics
Physics
Physics and Astronomy
Physics of Elementary Particles and Atomic Nuclei. Theory
Title q-Derivatives of Multivariable q-Hypergeometric Function with Respect to Their Parameters
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