Topic #22  -------------  OP-SF NET  -------------- November 15, 1996
                          ~~~~~~~~~
From: OP-SF Net editor 
Subject: Part 33 of 1991 Mathematics Subject Classification

Classification:    33-XX Special functions, {33-XX deals with the
                   properties of functions as functions.  For orthogonal
                   functions, See also 42Cxx; for aspects of
                   combinatorics, See 05Axx; for number-theoretic 
                   aspects, See 11-XX; for representation theory, See
                   22Exx}

     33-00   General reference works (handbooks, dictionaries,
               bibliographies, etc.)
     33-01   Instructional exposition (textbooks, tutorial papers, etc.)
     33-02   Research exposition (monographs, survey articles)
     33-03   Historical (must be assigned at least one classification
               number from Section 01)
     33-04   Explicit machine computation and programs (not the theory
               of computation or programming)
     33-06   Proceedings, conferences, collections, etc.
   33Bxx     Elementary classical functions
     33B10   Exponential and trigonometric functions
     33B15   Gamma, beta and polygamma functions
     33B20   Incomplete beta and gamma functions (error functions,
               probability integral, Fresnel integrals)
     33B99   None of the above but in this section
   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 (Chebyshev, Legendre,
               Gegenbauer, Jacobi, Laguerre, Hermite, Hahn, etc.)
     33C50   Orthogonal polynomials and functions in several variables
     33C55   Spherical functions, spherical harmonics, ultraspherical
               polynomials
     33C60   Hypergeometric integrals and functions defined by them
               ($E$, $G$ and ${H}$ functions)
     33C65   Appell, Horn and Lauricella functions
     33C70   Other hypergeometric functions and integrals in several
               variables
     33C75   Elliptic integrals as hypergeometric functions
     33C80   Connections with groups, algebras, root systems and related
               topics
     33C90   Applications
     33C99   None of the above but in this section
   33Dxx     Basic hypergeometric functions
     33D05   $q$-gamma functions, $q$-beta functions and integrals
     33D10   Basic theta functions
     33D15   Basic hypergeometric functions in one variable
     33D20   Generalized basic hypergeometric series
     33D45   Basic orthogonal polynomials and functions in one and
               several variables
     33D55   Basic spherical functions, spherical harmonics (continuous
               and discrete)
     33D60   Basic hypergeometric integrals and functions defined by
               them
     33D65   Bibasic functions and multiple bases
     33D70   Other basic hypergeometric functions and integrals in
               several variables
     33D80   Connections with groups, algebras, and related topics
     33D90   Applications
     33D99   None of the above but in this section
  33Exx     Other special functions
     33E05   Elliptic functions and integrals
     33E10   Lame, Mathieu, and spheroidal wave functions
     33E15   Other wave functions
     33E20   Other functions defined by series and integrals
     33E30   Other functions coming from differential, difference and
               integral equations
     33E99   None of the above but in this section