| 广义椭圆积分对参数的依赖性 |
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| 引用本文： | 屠国燕,裘松良,李艳莉,周培桂.广义椭圆积分对参数的依赖性[J].浙江理工大学学报,2010,27(5). |
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| 作者姓名： | 屠国燕 裘松良 李艳莉 周培桂 |
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| 作者单位： | 浙江理工大学,理学院,杭州,310018 |
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| 摘 要： | 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.
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| 关 键 词： | 超几何函数 广义椭圆积分 完全椭圆积分 单调性 |
Dependence of Generalized Elliptic Integrals on Parameter |
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| TU Guo-yan,QIU Song-liang,LI Yan-li,ZHOU Pei-gui.Dependence of Generalized Elliptic Integrals on Parameter[J].Journal of Zhejiang Sci-tech University,2010,27(5). |
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| Authors: | TU Guo-yan QIU Song-liang LI Yan-li ZHOU Pei-gui |
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| Abstract: | 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. |
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| Keywords: | hypergeometric function generalized elliptic integrals complete elliptic integrals monotonicity |
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