A new approach to hypergeometric transformation formulas

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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Bibliographic Details
Published in:	The Ramanujan journal Vol. 55; no. 2; pp. 793 - 816
Main Author:	Otsubo, Noriyuki
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2021 Springer Nature B.V
Subjects:	Canonical forms Combinatorics Differential equations Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Hypergeometric functions Mathematics Mathematics and Statistics Number Theory Transformations (mathematics) Hypergeometric functions Basic hypergeometric functions Transformation formulas 33C05 33D15
ISSN:	1382-4090, 1572-9303
Online Access:	Get full text
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