• DOI:10.1016/J.AIM.2018.04.014
Corpus ID: 119602297

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

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