Algebraic transformations of Gauss hypergeometric functions
Abstract
This article gives a classification scheme of algebraic transformations of Gauss hypergeometric functions, or pullback 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 August 2004
 arXiv:
 arXiv:math/0408269
 Bibcode:
 2004math......8269V
 Keywords:

 Mathematics  Classical Analysis and ODEs;
 33C05;
 34A30
 EPrint:
 29 pages