摘要
A class of second-order differential equations commonly arising in physics applications are considered,and their explicit hypergeometric solutions are provided. Further, the relationship with the Generalized and Universal Associated Legendre Equations are examined and established. The hypergeometric solutions, presented in this work,will promote future investigations of their mathematical properties and applications to problems in theoretical physics.
A class of second-order differential equations commonly arising in physics applications are considered,and their explicit hypergeometric solutions are provided. Further, the relationship with the Generalized and Universal Associated Legendre Equations are examined and established. The hypergeometric solutions, presented in this work,will promote future investigations of their mathematical properties and applications to problems in theoretical physics.
基金
Supported of Natural Sciences and Engineering Research Council of Canada under Grant No.GP249507
关键词
LEGENDRE
微分方程
通用
笔记
应用程序
理论物理
数学性质
universal associated Legendre polynomials
generalized associated Legendre equation
hypergeo-metric series
exact solutions
