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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, ${}_pF_q$
• 18
  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
• 8
  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