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.

中文翻译：

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多变量q-超几何函数关于其参数的q-导数

摘要

我们考虑关于参数的 Srivastava 和 Daoust 基本多变量超几何函数的 q 导数。这个函数体现了一个和几个变量的各种q-超几何级数的整数。对于具有正实系数的求和索引的一般情况，给出了显式方程。作为非汇合 Horn 型超几何函数\({{H}_{3}}\)的 q-模拟导数的示例。