On the orthogonality of q-classical polynomials of the Hahn class II
Abstract
In this article, the study of the orthogonality properties of q-polynomials of the Hahn class started in the initial article by R. \'Alvarez-Nodarse, R. Sevinik-Adg\"uzel, and H. Taseli, On the orthogonality of q-classical polynomials of the Hahn class I is proceeded. To be more specific, the orthogonality properties of the q-polynomials belonging to the -Hermite-Laguerre/Jacobi, -Jacobi/Hermite-Laguerre, 0-Laguerre/Jacobi-Bessel and 0-Jacobi/Laguerre-Bessel cases are studied by taking into account the idea considered in the initial paper. In particular, a new orthogonality relation for the q-Meixner polynomials is established.
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