Expansion in terms of Gegenbauer polynomials for solutions of a perturbed Gegenbauer differential equation

被引：0
|
作者：
El Kamel, J [1 ]
Fitouhi, A
机构：
[1] Fac Sci & Tech, Monastir, Tunisia
[2] Fac Sci Tunis, Tunis 1060, Tunisia
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 1997年 / 5卷 / 3-4期
关键词：
Bessel functions series; Gegenbauer differential equation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A. Fitouhi and M.M. Hamza (SIAM J. Math., No. 6 (1990) 1619-1632) and with H. Chebli (JMMA, Vol. 181, No. 3(1994) 789-802) obtained Bessel functions series expansions for the eigenfunctions of certain second order differential operators. This paper uses the same basic method to show that solutions of the perturbed Gegenbauer differential equation with an initial condition expand as a uniformly convergent Gegenbauer polynomial series on an interval.
引用
收藏
页码：213 / 226
页数：14
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