Brief communications

The expression of elliptic functions in terms of Jacobi functions

M. M. Alimov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: We have found 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 to use for solving the problem of recovering an elliptic function for which only its singularities are known.

Keywords: complex variable, elliptic functions, Jacobi functions.

UDC: 517.583:532.5

Received: 19.05.2022
Revised: 01.06.2022
Accepted: 29.06.2022

DOI: 10.26907/0021-3446-2022-7-73-78

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2022, 66:7, 64–69