Symmetries of Coefficients of Three-Term Relations for the Hypergeometric Series

2016/05/06 by Yuka Yamaguchi, Yamaguchi, Yuka · 1 citation
Mathematics · Computer Science · #Mathematical functions and polynomials #Numerical methods for differential equations #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1605.01850

Abstract

Any three hypergeometric series whose respective parameters, a, b and c, differ by integers satisfy a linear relation with coefficients that are rational functions of a, b, c and the variable x. These relations are called three-term relations. This paper shows that the coefficients of three-term relations have properties called symmetries, and gives explicit formulas describing the symmetries.

Cited by

• Basic hypergeometric identities derived from three-term relations

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