Classical elliptic hypergeometric functions and their applications
经典分析与常微分方程
2007-05-23 v2 数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/0511579,
title = {Classical elliptic hypergeometric functions and their applications},
author = {V. P. Spiridonov},
journal= {arXiv preprint arXiv:math/0511579},
year = {2007}
}
备注
42 pages, typos removed, references updated