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

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.

References in corpus (4)

• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• The kite integral to all orders in terms of elliptic polylogarithms
• Gauss hypergeometric function: reduction, epsilon-expansion for integer/half-integer parameters and Feynman diagrams
• Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering