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A new approach to hypergeometric transformation formulas

Published 8 Apr 2019 in math.CA and math.NT | (1904.03812v5)

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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