Classical Elliptic Hypergeometric Functions and Their Applications

@inproceedings{Spiridonov2005ClassicalEH,
  title={Classical Elliptic Hypergeometric Functions and Their Applications},
  author={V. P. Spiridonov},
  year={2005}
}
General theory of elliptic hypergeometric series and integrals is outlined. Main attention is paid to the examples obeying properties of the “classical” special functions. In particular, an elliptic analogue of the Gauss hypergeometric function and some of its properties are described. Present review is based on author’s habilitation thesis [Spi7] containing a more detailed account of the subject. 

From This Paper

Topics from this paper.
7 Citations
48 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 48 references

Academic Press

  • R. J. Baxter, Exactly solved models in statistical mechanics
  • London,
  • 1982
Highly Influential
5 Excerpts

General hypergeometric systems of equations and series of hypergeometric type

  • M. I. Graev, V. S. Retakh
  • Russ . Math . Surveys
  • 2004

, Unitary representations of U q ( sl ( 2 , R ) ) , the modular double and the multiparticle qdeformed Toda chains

  • D. Lebedev, M. Semenov-Tian-Shansky
  • J . Phys . A : Math . Gen .
  • 2003

Semenov-Tian-Shansky, Unitary representations of Uq(sl(2, R)), the modular double and the multiparticle qdeformed Toda chains

  • S. Kharchev, D. Lebedev
  • Commun. Math. Phys
  • 2002

On the elliptic beta function

  • V. P. Spiridonov
  • Russian Math. Surveys
  • 2001

Similar Papers

Loading similar papers…