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arXiv · 1605.01850

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

Yuka Yamaguchi
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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.

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Yuka Yamaguchi. 2016-05-06. Symmetries of Coefficients of Three-Term Relations for the Hypergeometric Series. https://arxiv.org/abs/1605.01850

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