Quantum Groups, q-Orthogonal Polynomials and Basic Hypergeometric Functions

N Ja Vilenkin,A U Klimyk

doi:10.1007/978-94-017-2881-2_1

Quantum Groups, q-Orthogonal Polynomials and Basic Hypergeometric Functions

N Ja Vilenkin, A U Klimyk

https://doi.org/10.1007/978-94-017-2881-2_1

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Publication Date: Jan 1, 1992

Affiliation: Moscow State Pedagogical University, Gorno-Altaisk State University, National Academy of Sciences of Ukraine

#Quantum Groups #Basic Hypergeometric Functions + Show 8 more

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Abstract

As we have seen in Chapter 13, representations of Chevalley groups lead to q-orthogonal polynomials with positive integral q. Basic hypergeometric functions and q-orthogonal polynomials for arbitrary (including complex) values of q are connected with quantum algebras and groups. They are considered in the present Chapter.

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