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