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Q-Hermite polynomials and classical orthogonal polynomials

Christian Berg·Mourad E. H. Ismail
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Abstract

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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Christian Berg, Mourad E. H. Ismail. 1994-05-24. Q-Hermite polynomials and classical orthogonal polynomials. https://arxiv.org/abs/math/9405213

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