Classical elliptic hypergeometric functions and their applications

Details Classical elliptic hypergeometric functions and their applications Classical elliptic hypergeometric functions and their applications

2005-11-23

arxiv.org/abs/math/0511579v2

Rokko Lect. in Math. Vol. 18, Dept. of Math, Kobe Univ., 2005, pp. 253--287

Mathematics

Classical Analysis and ODEs

42 pages, typos removed, references updated

Scientific paper

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.

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