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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