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< 33Bxx | 33-XX | 33Dxx >
33-XX Special functions [(33-XX deals with the properties of functions as functions)} {For orthogonal functions, see 42Cxx; for aspects of combinatorics see 05Axx; for number-theoretic aspects see 11-XX; for representation theory see 22Exx]}
33Cxx 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
< 33Bxx | 33-XX | 33Dxx >
American Mathematical Society