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33Cxx

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Hypergeometric functions
  • 33C05 Classical hypergeometric functions, $_2F_1$
  • 33C10 Bessel and Airy functions, cylinder functions, $_0F_1$
  • 33C15 Confluent hypergeometric functions, Whittaker functions, $_1F_1$
  • 33C20 Generalized hypergeometric series, $_pF_q$
  • 33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [See also 42C05 for general orthogonal polynomials and functions]
  • 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 ($E$, $G$ and ${H}$ 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