Reduction Formulas for Derivatives of Hypergeometric Functions with Respect to Parameters
Yu. A. Brychkov · Lobachevskii Journal of Mathematics · 2025
Abstract The connection between series involving the polygamma function, its derivatives, and derivatives of hypergeometric functions is investigated. Reduction formulas for derivatives of hypergeometric functions with respect to parameters for non-integer values of these parameters are obtained. They can be used for simplification of formulas in computer algebra systems.