Mixed recurrence equations and interlacing properties for zeros of sequences of classical q-orthogonal polynomials

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Authors

Tcheutia, D.D.
Jooste, Alta
Koepf, W.

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Elsevier

Abstract

Using the q-version of Zeilberger's algorithm, we provide a procedure to find mixed recurrence equations satisfied by classical q-orthogonal polynomials with shifted parameters. These equations are used to investigate interlacing properties of zeros of sequences of q-orthogonal polynomials. In the cases where zeros do not interlace, we give some numerical examples to illustrate this.

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Keywords

Classical q-orthogonal polynomials, Mixed recurrence equations, Interlacing of zeros, Polynomials, Interlacing properties, Q-orthogonal polynomials, Recurrence equation, Zeilberger's algorithm, Orthogonal functions

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Citation

Tcheutia D.D., Jooste A.S. & Koepf W. 2018, 'Mixed recurrence equations and interlacing properties for zeros of sequences of classical q-orthogonal polynomials', Applied Numerical Mathematics, vol. 125, pp. 86-102.