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arXiv · 1310.8440

A class of symmetric $q$-orthogonal polynomials with four free parameters

I. Area·M. Masjed-Jamei
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Abstract

By using a generalization of Sturm-Liouville problems in $q$-difference spaces, a class of symmetric $q$-orthogonal polynomials with four free parameters is introduced. The standard properties of these polynomials, such as a second order $q$-difference equation, the explicit form of the polynomials in terms of basic hypergeometric series, a three term recurrence relation and a general orthogonality relation are presented. Some particular examples are then studied in detail.

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I. Area, M. Masjed-Jamei. 2013-10-31. A class of symmetric $q$-orthogonal polynomials with four free parameters. https://arxiv.org/abs/1310.8440

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