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arXiv · 1904.03812

A new approach to hypergeometric transformation formulas

Noriyuki Otsubo
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Abstract

We give a new method to prove in a uniform and easy way various transformation formulas for Gauss hypergeometric functions. The key is Jacobi's canonical form of the hypergeometric differential equation. Analogy for $q$-hypergeometric functions is also studied.

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Noriyuki Otsubo. 2019-04-08. A new approach to hypergeometric transformation formulas. https://arxiv.org/abs/1904.03812

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