Numerical Evaluation of Generalized Hypergeometric Functions for Degenerated Values of Parameters

Details Numerical Evaluation of Generalized Hypergeometric Functions for Degenerated Values of Parameters Numerical Evaluation of Generalized Hypergeometric Functions for Degenerated Values of Parameters

2007-03-03

arxiv.org/abs/math/0703082v1

Mathematics

Classical Analysis and ODEs

11 pages, 3 figures

Scientific paper

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 $\infty$.

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