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Paper detail

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

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.

preprint2013arXivOpen access
I. AreaM. Masjed-Jamei
math.CA
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I. AreaM. Masjed-Jamei

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