A new approach to hypergeometric transformation formulas
Classical Analysis and ODEs
2019-09-18 v5 Number Theory
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 -hypergeometric functions is also studied.
Cite
@article{arxiv.1904.03812,
title = {A new approach to hypergeometric transformation formulas},
author = {Noriyuki Otsubo},
journal= {arXiv preprint arXiv:1904.03812},
year = {2019}
}
Comments
18 pages, formerly entitled "A canonical form of the hypergeometric equation and transformation formulas"