Corpus ID: 119124997

Aspects of elliptic hypergeometric functions

  title={Aspects of elliptic hypergeometric functions},
  author={Vyacheslav Pavlovich Spiridonov},
  journal={arXiv: Classical Analysis and ODEs},
  • V. Spiridonov
  • Published 10 July 2013
  • Mathematics, Physics
  • arXiv: Classical Analysis and ODEs
General elliptic hypergeometric functions are defined by elliptic hypergeometric integrals. They comprise the elliptic beta integral, elliptic analogues of the Euler-Gauss hypergeometric function and Selberg integral, as well as elliptic extensions of many other plain hypergeometric and $q$-hypergeometric constructions. In particular, the Bailey chain technique, used for proving Rogers-Ramanujan type identities, has been generalized to integrals. At the elliptic level it yields a solution of… Expand
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