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} 38817

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] 155

33B20 Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) 563

33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) {For general orthogonal polynomials and functions, see also 42C05} 9493

33C50 Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable 694

33C60 Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions) 2749

33D50 Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable 73

33D52 Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) 283

33D80 Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics 672

33F10 Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) [See also 68W30] 405