# Rarefied elliptic hypergeometric functions

@article{Spiridonov2016RarefiedEH,
title={Rarefied elliptic hypergeometric functions},
author={V. Spiridonov},
journal={arXiv: Classical Analysis and ODEs},
year={2016}
}
• V. Spiridonov
• Published 2016
• Mathematics, Physics
• arXiv: Classical Analysis and ODEs
• Two exact evaluation formulae for multiple rarefied elliptic beta integrals related to the simplest lens space are proved. They generalize evaluations of the type I and II elliptic beta integrals attached to the root system $C_n$. In a special $n=1$ case, the simplest $p\to 0$ limit is shown to lead to a new class of $q$-hypergeometric identities. Symmetries of a rarefied elliptic analogue of the Euler-Gauss hypergeometric function are described and the respective generalization of the… CONTINUE READING
17 Citations