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