La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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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]

• 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 also 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.
• 33-99 Special functions (not classified at a more specific level)
• 33Bxx Elementary classical functions
• 33Cxx Hypergeometric functions
• 33Dxx Basic hypergeometric functions
  • 33D05 q-gamma functions, q-beta functions and integrals
  • 33D15 Basic hypergeometric functions in one variable, _rs
  • 33D45 Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.)
  • 33D50 Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 33D45
  • 33D52 Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 33D80
  • 33D60 Basic hypergeometric integrals and functions defined by them
  • 33D65 Bibasic functions and multiple bases
  • 33D67 Basic hypergeometric functions associated with root systems [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 33D80
  • 33D70 Other basic hypergeometric functions and integrals in several variables
  • 33D80 Connections with quantum groups, Chevalley groups, p-adic groups, Hecke algebras, and related topics
  • 33D90 Applications
  • 33D99 None of the above, but in this section
• 33Exx Other special functions
• 33Fxx Computational aspects

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