Mathematical Sciences Classification System

33Cxx - Hypergeometric functions

  • 1
    33C05
    Classical hypergeometric functions, ${}_2F_1$
  • 4
    33C10
    Bessel and Airy functions, cylinder functions, ${}_0F_1$
  • 1
    33C15
    Confluent hypergeometric functions, Whittaker functions, ${}_1F_1$
  • 33C20
    Generalized hypergeometric series, ${}_pF_q$
  • 17
    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
  • 2
    33C50
    Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable
  • 1
    33C52
    Orthogonal polynomials and functions associated with root systems
  • 7
    33C55
    Spherical harmonics
  • 2
    33C60
    Hypergeometric integrals and functions defined by them ($E$, $G$, $H$ and $I$ functions)
  • 1
    33C65
    Appell, Horn and Lauricella functions
  • 2
    33C67
    Hypergeometric functions associated with root systems
  • 33C70
    Other hypergeometric functions and integrals in several variables
  • 5
    33C75
    Elliptic integrals as hypergeometric functions
  • 33C80
    Connections with groups and algebras, and related topics
  • 2
    33C90
    Applications
  • 33C99
    None of the above, but in this section

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