Ultraspherical moments on a set of disjoint intervals

被引：0
|
作者：
AlSabi, Hashem [1 ]
Griffin, James [2 ]
机构：
[1] Univ Sci & Technol, Lille 1, France
[2] Amer Univ Sharjah, Dept Math, Sharjah, U Arab Emirates
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2019年 / 30卷 / 04期
关键词：
Ultraspherical moments; Pell equations; Hypergeometric function;
D O I：
10.1016/j.indag.2019.02.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Moment evaluations are important for the study of non-classical orthogonal polynomial systems for which explicit representations are not known. In this paper we compute, in terms of the hypergeometric function, the moments associated with a generalized ultraspherical weight on a collection of intervals with two symmetric gaps. These moments, parametrized by the endpoints of the gaps, are identified as a one parameter deformation between the full range ultraspherical moments and the half range ultraspherical moments. (C) 2019 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：596 / 609
页数：14
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