The study of dual integral equations with generalized Legendre functions

被引：2

作者：

Singh, BM ^{[1
]}

Rokne, J ^{[1
]}

Dhaliwal, RS ^{[1
]}

机构：

[1] Univ Calgary, Dept Math, Calgary, AB T2N 1N4, Canada

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 304卷 / 02期

关键词：

D O I：

10.1016/j.jmaa.2004.09.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Closed form solutions for dual integral equations involving generalized Legendre functions as kernels are obtained. Connected to these dual integral equations an exact solution for dual integral equations involving sine functions as kernels is also obtained. Properties of generalized Legendre functions and the inversion theorem for the generalized Mehler-Fock transforms are used to obtain the solution of dual integral equations (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：725 / 733

页数：9

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