Algebraic transformations of Gauss hypergeometric functions
Classical Analysis and ODEs
2013-10-04 v3
Abstract
This article gives a classification scheme of algebraic transformations of Gauss hypergeometric functions, or pull-back transformations between hypergeometric differential equations. The classification recovers the classical transformations of degree 2, 3, 4, 6, and finds other transformations of some special classes of the Gauss hypergeometric function. The other transformations are considered more thoroughly in a series of supplementing articles.
Cite
@article{arxiv.math/0408269,
title = {Algebraic transformations of Gauss hypergeometric functions},
author = {Raimundas Vidunas},
journal= {arXiv preprint arXiv:math/0408269},
year = {2013}
}
Comments
29 pages; 3 tables; Uniqueness claims and Remark 7.1 clarified by footnotes; formulas (28), (29) corrected