The recurrence relations for the spheroidal functions

来源 :中国科学：物理学、力学、天文学英文版 | 被引量 : 0次 | 上传用户：hhy0412

【摘要】

：

The integrable properties of the spheroidal equations are investigated. The shape-invariance property is proved to be retained for the spheroidal equations, for

【作者】

：

TIAN GuiHua ZHONG ShuQuan

【机构】

：

SchoolofScience

【出处】

：

中国科学：物理学、力学、天文学英文版

【发表日期】

：

2011年3期

【关键词】

：

递推关系球函数勒让德多项式形状不变性方程可积 spheroidal wave functions supersymmetry quantum mech

【基金项目】

：

This work was supported by the National Natural Science Foundation of China （Grant Nos. 10875018 and 10773002）.

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The integrable properties of the spheroidal equations are investigated. The shape-invariance property is proved to be retained for the spheroidal equations, for which the recurrence relations are obtained. This is the extension of the recurrence relation

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The recurrence relations for the spheroidal functions

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