期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 343, 期 1, 页码 464-478出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2008.01.055
关键词
generalized hypergeometric polynomials; d-orthogonal polynomials; continuous dual Hahn polynomials; dual Hahn polynomials; Meixner polynomials; Meixner-Pollaczek polynomials; Krawtchouk polynomials; Laguerre polynomials
In this paper, we characterize the d-orthogonal polynomial sets given by their explicit expressions in a specific basis. As application, we consider the generalized hypergeometric case to characterize d-orthogonal polynomial sets of Laguerre type, Meixner type, Meixner-Pollaczek type, Krawtchouk type, continuous dual Hahn type, and dual Hahn type. For d = 1, we obtain a unification of some characterization theorems in the orthogonal polynomials theory. (C) 2008 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据