Numerical Evaluation of Generalized Hypergeometric Functions for Degenerated Values of Parameters

Abstract

In this paper, we give an algorithm to generate connection formulas of generalized hypergeometric functions ${}_p{F}_{p-1}$ for degenerated values of parameters. We also show that these connection formulas give a fast method for numerical evaluation of generalized hypergeometric functions near $\infty$.

11 pages, 3 figures