Classical elliptic hypergeometric functions and their applications
Classical Analysis and ODEs
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
General theory of elliptic hypergeometric series and integrals is outlined. Main attention is paid to the examples obeying properties of the "classical" special functions. In particular, an elliptic analogue of the Gauss hypergeometric function and some of its properties are described. Present review is based on author's habilitation thesis [Spi7] containing a more detailed account of the subject.
Cite
@article{arxiv.math/0511579,
title = {Classical elliptic hypergeometric functions and their applications},
author = {V. P. Spiridonov},
journal= {arXiv preprint arXiv:math/0511579},
year = {2007}
}
Comments
42 pages, typos removed, references updated