Hypergeometric type functions and their symmetries
Classical Analysis and ODEs
2015-06-15 v2
Abstract
We give a systematic and unified discussion of various classes of hypergeometric type equations: the hypergeometric equation, the confluent equation, the F_1 equation (equivalent to the Bessel equation), the Gegenbauer equation and the Hermite equation. In particular, we discuss recurrence relations of their solutions, their integral representations and discrete symmetries.
Cite
@article{arxiv.1305.3113,
title = {Hypergeometric type functions and their symmetries},
author = {Jan Dereziński},
journal= {arXiv preprint arXiv:1305.3113},
year = {2015}
}
Comments
94 pages, 12 figures, revised version, accepted by Annales Henri Poincare