Integral representations for polynomial projections and their kernels

被引：0
|
作者：
Ganzburg M.I. [1 ]
机构：
[1] Department of Mathematics, Hampton University, Hampton
来源：
Journal of Mathematical Sciences | 2012年 / 183卷 / 6期
关键词：
biorthonormality; Gegenbauer polynomials; Legendre polynomials; orthogonal polynomials; Polynomial projections;
D O I：
10.1007/s10958-012-0839-7
中图分类号：
学科分类号：
摘要：
In this paper, we discuss the conditions on polynomial projections that allow special integral representations for their kernels. These representations are based on a new biorthonormality criterion. As an application, we obtain new integral representations for the Legendre and Gegenbauer kernels. © 2012 Springer Science+Business Media, Inc.
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页码：772 / 778
页数：6
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