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Mathematical Sciences Classification System

33Dxx - 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

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