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  • 33-XX Special functions ( deals with the properties of functions as functions)
  • 33Cxx Hypergeometric functions
  • 33C99 None of the above, but in this section

33Cxx Hypergeometric functions

  • 33C05 Classical hypergeometric functions, 2 F 1
  • 33C10 Bessel and Airy functions, cylinder functions, 0 F 1
  • 33C15 Confluent hypergeometric functions, Whittaker functions, 1 F 1
  • 33C20 Generalized hypergeometric series, p F q
  • 33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
  • 33C47 Other special orthogonal polynomials and functions
  • 33C50 Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable
  • 33C52 Orthogonal polynomials and functions associated with root systems
  • 33C55 Spherical harmonics
  • 33C60 Hypergeometric integrals and functions defined by them ( E , G , H and I functions)
  • 33C65 Appell, Horn and Lauricella functions
  • 33C67 Hypergeometric functions associated with root systems
  • 33C70 Other hypergeometric functions and integrals in several variables
  • 33C75 Elliptic integrals as hypergeometric functions
  • 33C80 Connections with groups and algebras, and related topics
  • 33C90 Applications
  • 33C99 None of the above, but in this section
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Sur le développement de l’expression R 2 - 2 R r cos u cos u ' cos ( x - x ' ) + sin u sin u ' cos ( y - y ' ) + r 2 - 1

T.-J. Stieltjes (1889)

Journal de Mathématiques Pures et Appliquées

Sur une extension aux fonctions de deux variables du problème de Riemann relatif aux fonctions hypergéométriques

Émile Picard (1881)

Annales scientifiques de l'École Normale Supérieure

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