Q-Hermite polynomials and classical orthogonal polynomials

Details Q-Hermite polynomials and classical orthogonal polynomials Q-Hermite polynomials and classical orthogonal polynomials

1994-05-24

arxiv.org/abs/math/9405213v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We use generating functions to express orthogonality relations in the form
of $q$-beta integrals. The integrand of such a $q$-beta integral is then used
as a weight function for a new set of orthogonal or biorthogonal

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