Expression of Elliptic Functions in Terms of Jacobi Functions

被引：0
|
作者：
Alimov, M. M. [1 ]
机构：
[1] Kazan Fed Univ, Kazan 420008, Russia
来源：
RUSSIAN MATHEMATICS | 2022年 / 66卷 / 07期
关键词：
complex variable; elliptic functions; Jacobi functions;
D O I：
10.3103/S1066369X22070015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find a simple analytical expression in terms of the Jacobi functions of an arbitrary elliptic function whose periodicity cell is a rectangle. This expression is convenient for solving the problem of recovering an elliptic function for which only its singularities are known.
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页码：64 / 69
页数：6
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