q-derivatives of multivariable q-hypergeometric function with respect to their parameters
Classical Analysis and ODEs
2020-09-09 v2
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.
Cite
@article{arxiv.2008.09357,
title = {q-derivatives of multivariable q-hypergeometric function with respect to their parameters},
author = {V. Bytev and Pengming Zhang},
journal= {arXiv preprint arXiv:2008.09357},
year = {2020}
}