论 Hahn 类 q-经典多项式的正交性 II
经典分析与常微分方程
2012-03-02 v3
摘要
本文继续了由 R. Álvarez-Nodarse, R. Sevinik-Adıgüzel 和 H. Taşeli 在初始文章《论 Hahn 类 q-经典多项式的正交性 I》中开始的关于 Hahn 类 q-多项式正交性质的研究。具体而言，我们借鉴初始文章中的思想，研究了属于 ∅-Hermite-Laguerre/Jacobi、∅-Jacobi/Hermite-Laguerre、0-Laguerre/Jacobi-Bessel 和 0-Jacobi/Laguerre-Bessel 情形的 q-多项式的正交性质。特别地，为 q-Meixner 多项式建立了一个新的正交关系。
引用
@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}
}
备注
This paper (arxiv 1107.2425 math.CA) has been withdrawn by the authors because we combine it with the paper arxiv 1107.2423 math.CA "On the orthogonality of q-classical polynomials of the Hahn class".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"