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arXiv · 2008.09357

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

V. Bytev·Pengming Zhang
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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 $H_3$ is presented.

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V. Bytev, Pengming Zhang. 2020-08-21. q-derivatives of multivariable q-hypergeometric function with respect to their parameters. https://doi.org/10.1016/j.nuclphysb.2019.114911

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