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33Dxx

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Basic hypergeometric functions
  • 33D05 $q$-gamma functions, $q$-beta functions and integrals
  • 33D15 Basic hypergeometric functions in one variable, ${}_r\phi_s$
  • 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
  • 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
  • 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