arXiv Open Access 2011

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

R. Alvarez-Nodarse R. Sevinik-Adiguzel H. Taseli

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Abstrak

In this article, the study of the orthogonality properties of $q$-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 $q$-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.

Topik & Kata Kunci

math.CA

Penulis (3)

R. Alvarez-Nodarse

R. Sevinik-Adiguzel

H. Taseli

Format Sitasi

APA MLA BibTeX

Alvarez-Nodarse, R., Sevinik-Adiguzel, R., Taseli, H. (2011). On the orthogonality of q-classical polynomials of the Hahn class II. https://arxiv.org/abs/1107.2425

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2011
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓