Rarefied elliptic hypergeometric functions
@article{Spiridonov2016RarefiedEH, title={Rarefied elliptic hypergeometric functions}, author={V. Spiridonov}, journal={arXiv: Classical Analysis and ODEs}, year={2016} }
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
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