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arXiv:1904.03812 [math.CA]AbstractReferencesReviewsResources

A canonical form of the hypergeometric equation and transformation formulas

Noriyuki Otsubo

Published 2019-04-08Version 1

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

Comments: 18 pages
Categories: math.CA, math.NT
Subjects: 33C05, 33D15
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