On the orthogonality of q-classical polynomials of the Hahn class II
Abstract
In this article, the study of the orthogonality properties of -polynomials of the Hahn class started in the initial article by R. \'Alvarez-Nodarse, R. Sevinik-Ad{\i}g\"uzel, and H. Ta\c{s}eli, \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.
Keywords
Cite
@article{arxiv.1107.2425,
title = {On the orthogonality of q-classical polynomials of the Hahn class II},
author = {R. Alvarez-Nodarse and R. Sevinik-Adiguzel and H. Taseli},
journal= {arXiv preprint arXiv:1107.2425},
year = {2012}
}
Comments
This paper (arxiv 1107.2425 math.CA) has been withdrawn by the authors because we combine it with the paper arxiv 1107.2423 math.CA "On the orthogonality of q-classical polynomials of the Hahn class".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"