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} 38511

33-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to special functions 53

33-03 History of special functions [Consider also classification numbers pertaining to Section 01-XX] 154

33B20 Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) 558

33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) {For general orthogonal polynomials and functions, see also 42C05} 9422

33C50 Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable 691

33C60 Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions) 2748

33D50 Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable 72

33D52 Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) 280

33D80 Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics 666

33F10 Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) [See also 68W30] 403