On the orthogonality of q-classical polynomials of the Hahn class II
arXiv:1107.2425
Abstract
In this article, the study of the orthogonality properties of -polynomials of the Hahn class started in the initial article by R. Álvarez-Nodarse, R. Sevinik-Adıgüzel, and H. Taşeli, \textit{On the orthogonality of -classical polynomials of the Hahn class I} is proceeded. To be more specific, the orthogonality properties of the -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 -Meixner polynomials is established.
This paper (arxiv 1107.2425 math.CA) has been withdrawn by the authors because we combine it with the paper arxiv 1107.2423 math.CA "On the orthogonality of q-classical polynomials of the Hahn class". The new version of arxiv 1107.2423 math.CA is now entitle "The orthogonality of q-classical polynomials of the Hahn class: A geometrical approach"