New classes of orthogonal polynomials

被引：2

作者：

Srivastava, V ^{[1
]}

Naidu, AR ^{[1
]}

机构：

[1] Univ Hyderabad, Ctr Cognit Sci, Sch Phys, Hyderabad 500046, Andhra Pradesh, India

来源：

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 2006年 / 106卷 / 05期

关键词：

orthogonal polynomials; Gram-Schmidt orthogonalization; Lowdin's symmetric orthogonalization; canonical orthogonalization;

D O I：

10.1002/qua.20890

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We show that two new classes of orthogonal polynomials can be derived by applying two orthogonalization procedures due to Lowdin to a set of monomials. They are new in that they possess novel properties in terms of their inner products with the monomials. Each class comprises sets of orthogonal polynomials that satisfy orthogonality conditions with respect to a weight function on a certain interval. (c) 2005 Wiley Periodicals, Inc.

引用

页码：1258 / 1266

页数：9