广义椭圆积分对参数的依赖性(英文)

Dependence of Generalized Elliptic Integrals on Parameter

给出了由广义椭圆积分κa(r)和εa(r)定义的某些函数依赖于参数a的分析性质。同时,揭示了广义椭圆积分与完全椭圆积分κ(r)和ε(r)的一些联系。

In this paper, the authors show some analytic properties of certain functions defined in terms of the generalized elliptic integrals κa （r） and εa （r）, by studying their dependence on the parameter a. Some connections between the generalized elliptic integrals and the complete elliptic integrals κ（r） and ε（r） are presented.