HYPERGEOMETRIC FUNCTIONS AND SINGULAR SOLUTIONS OF WAVE EQUATIONS WITH LORENTZ-INVARIANT POTENTIAL

被引：3

作者：

Bentrad, Ali ^{[1
]}

Kichenassamy, Satyanad ^{[1
]}

机构：

[1] Univ Reims, CNRS, Math Lab, FRE 3111, F-51687 Reims 2, France

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2009年 / 11卷 / 03期

关键词：

Singular solutions; hypergeometric equation; ELLIPTIC-EQUATIONS; 2ND-ORDER; OPERATORS;

D O I：

10.1142/S0219199709003466

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New solutions of equation utt - Delta u + Au/(r(2) - t(2)) = 0, in the series of hypergeometric functions (HGF), are constructed. A sharpened estimate on hypergeometric functions is derived to prove the convergence of the series.

引用

页码：447 / 458

页数：12

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