On the orthogonality of q-classical polynomials of the Hahn class II

Details On the orthogonality of q-classical polynomials of the Hahn class II On the orthogonality of q-classical polynomials of the Hahn class II

2011-07-12

arxiv.org/abs/1107.2425v3

Mathematics

Classical Analysis and ODEs

This paper (arxiv 1107.2425 math.CA) has been withdrawn by the authors because we combine it with the paper arxiv 1107.2423 ma

Scientific paper

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-Ad{\i}g\"uzel, and H. Ta\c{s}eli, \textit{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 $\emptyset$-Hermite-Laguerre/Jacobi, $\emptyset$-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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