Rarefied elliptic hypergeometric functions

  title={Rarefied elliptic hypergeometric functions},
  author={V. Spiridonov},
  journal={arXiv: Classical Analysis and ODEs},
  • 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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