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

共 25 条

[1]

Abramowitz M., 1972, HDB MATH FUNCTIONS

[2] Exact solutions of semilinear radial wave equations in n dimensions [J].

Anco, SC ;

Liu, S .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 297 (01) :317-342

[3]

[Anonymous], 1966, GEN HYPERGEOMETRIC F

[4]

[Anonymous], 1915, Lecons sur la theorie Generale des Surfaces et les Applications Geometriques du Calcul Infinitesimal

[5]

[Anonymous], 1997, Rev. Mat. Univ. Complut. Madrid

[6]

Babister AW., 1967, Transcendental Functions Satisfying Nonhomogeneous Linear Differential Equations

[7]

BEGEHR H, 1993, PITMAN MONOGRAPHS SU, V58

[8]

Bentrad A, 1996, PUBL MATH-DEBRECEN, V48, P1

[9] A linear Fuchsian equation with variable indices [J].

Bentrad, A ;

Kichenassamy, S .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 190 (01) :64-80

[10]

BENTRAD A, 2004, APPL ANAL, V83, P1265

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