Mathematical Sciences Classification System

33Dxx - Basic hypergeometric functions

  • 1
    33D05
    $q$-gamma functions, $q$-beta functions and integrals
  • 5
    33D15
    Basic hypergeometric functions in one variable, ${}_r\phi_s$
  • 3
    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
  • 1
    33D52
    Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.)
  • 33D60
    Basic hypergeometric integrals and functions defined by them
  • 33D65
    Bibasic functions and multiple bases
  • 33D67
    Basic hypergeometric functions associated with root systems
  • 1
    33D70
    Other basic hypergeometric functions and integrals in several variables
  • 1
    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

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