The expression of elliptic functions in terms of Jacobi functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2022), pp. 73-78
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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.
Mots-clés :
complex variable
Keywords: elliptic functions, Jacobi functions.
Keywords: elliptic functions, Jacobi functions.
@article{IVM_2022_7_a6,
author = {M. M. Alimov},
title = {The expression of elliptic functions in terms of {Jacobi} functions},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {73--78},
publisher = {mathdoc},
number = {7},
year = {2022},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2022_7_a6/}
}
M. M. Alimov. The expression of elliptic functions in terms of Jacobi functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2022), pp. 73-78. http://geodesic.mathdoc.fr/item/IVM_2022_7_a6/