关于自旋加权球方程特征值的渐近性

IF 0.3 Q4 PHYSICS, MULTIDISCIPLINARY

Nonlinear Phenomena in Complex Systems Pub Date : 2022-12-12 DOI:10.33581/1561-4085-2022-25-4-368-376

V. S. Otchik

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引用次数: 0

摘要

自旋加权球微分方程的解以包含合流超几何函数的级数形式给出。通过考虑具有四个正则奇点的辅助方程中两个奇点的汇合，导出了具有不同收敛域的解之间的关系。这些关系用于获得对特征值的渐近展开的指数小校正。

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On the Asymptotics of Eigenvalues of the Spin-Weighted Spheroidal Equation

Solutions of the spin-weighted spheroidal differential equation are presented in the form of the series involving confluent hypergeometric functions. Relations between solutions with different domains of convergence are derived by considering the confluence of two singularities in an auxiliary equation with four regular singularities. These relations are used to obtain exponentially small corrections to asymptotic expansion of eigenvalues.

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来源期刊

Nonlinear Phenomena in Complex Systems PHYSICS, MULTIDISCIPLINARY-

CiteScore

0.90

自引率

25.00%

发文量