A special identity between three 2F1(a,b;c;4) hypergeometric series

  • Authors:

  • G. Vanden Berghe;H. De Meyer

  • Affiliations:

  • Vakgroep Toegepaste Wiskunde en Informatica, Universiteit Gent, Krijgslaan 281-S9, Gent B-9000, Belgium;Vakgroep Toegepaste Wiskunde en Informatica, Universiteit Gent, Krijgslaan 281-S9, Gent B-9000, Belgium

  • Venue:
  • Journal of Computational and Applied Mathematics - Special issue: Proceedings of the international conference on special functions and their applications
  • Year:
  • 2003

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Abstract

As a by-product of the calculation of eigenvalues of a particular SO(3) invariant operator in the enveloping algebra of SO(5), a three terms relation between three hypergeometric series emerges.