摘要
主要讨论了球Bessel方程在一般区间上的本征值问题,特别是方程在更为一般的第三边界条件下的本征值问题。首先说明了该问题是自共轭本征值问题,然后利用自共轭本征值问题的性质,给出了该问题确定本征值的特征方程和本征函数,并利用球Bessel函数与半奇数阶Bessel函数的关系计算了本征函数的模方。
Discuss the problems of eigenvalue for spheric Bessel equation on general interval, specially, discuss the problem of eigenvalue of equation with the third boundary conditions. First, this paper explain that this problem is a self-conjugate eigenvalue problem, second, use the properties of self-conjugate eigenvalue problem, give its characteristic equation and its eigenfunction, use the relations between spheric Bessel function and semi-odd order Bessel function , we calculate the module square of eigenfunction.
出处
《安阳师范学院学报》
2006年第2期3-5,共3页
Journal of Anyang Normal University
