SOME TRIPLE SERIES AND TRIPLE INTEGRAL-EQUATIONS

被引：5

作者：

LOWNDES, JS ^{[1
]}

SRIVASTAVA, HM ^{[1
]}

机构：

[1] UNIV VICTORIA,DEPT MATH,VICTORIA V8W 2Y2,BC,CANADA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1990年 / 150卷 / 01期

关键词：

D O I：

10.1016/0022-247X(90)90206-U

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown how a certain class of triple series equations involving the generalized Laguerre polynomials can be reduced to some triple integral equations involving Bessel functions. Making use of an Erdélyi-Kober operator of fractional integration, an exact solution of these triple integral equations is obtained. An exact solution of the triple series equations is then deduced fairly easily in view of the aforementioned simple and practical connection. © 1990.

引用

页码：181 / 187

页数：7

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