33Cxx Hypergeometric functions

33C05 Classical hypergeometric functions, 2F1
(1)
 33C10 Bessel and Airy functions, cylinder functions, 0F1
 33C15 Congruent hypergeometric functions, Whittaker functions, 1F1
 33C20 Generalized hypergeometric series, pFq
 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, H and I 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