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arXiv · 2106.13726

On second order q-difference equations for high-order Sobolev-type q-Hermite orthogonal polynomials

Carlos Hermoso·Edmundo J. Huertas·Alberto Lastra·Anier Soria-Lorente
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Abstract

The q-Hermite I-Sobolev type polynomials of higher order are consider for their study. Their hypergeometric representation is provided together with further useful properties such as several structure relations which give rise to a three-term recurrence relation of their elements. Two different q-difference equations satisfied by the q-Hermite I-Sobolev type polynomials of higher order are also established.

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Carlos Hermoso, Edmundo J. Huertas, Alberto Lastra, Anier Soria-Lorente. 2021-06-25. On second order q-difference equations for high-order Sobolev-type q-Hermite orthogonal polynomials. https://arxiv.org/abs/2106.13726

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