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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 7, Pages 73–78
DOI: https://doi.org/10.26907/0021-3446-2022-7-73-78 (Mi ivm9794) 		 
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The expression of elliptic functions in terms of Jacobi functions

M. M. Alimov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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DOI: https://doi.org/10.26907/0021-3446-2022-7-73-78
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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2020-931
Received: 19.05.2022
Revised: 01.06.2022
Accepted: 29.06.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 7, Pages 64–69
DOI: https://doi.org/10.3103/S1066369X22070015
Document Type: Article
UDC: 517.583:532.5
Language: Russian
Citation: M. M. Alimov, “The expression of elliptic functions in terms of Jacobi functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 7, 73–78; Russian Math. (Iz. VUZ), 66:7 (2022), 64–69
Citation in format AMSBIB
\Bibitem{Ali22}
\by M.~M.~Alimov
\paper The expression of elliptic functions in terms of Jacobi functions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 7
\pages 73--78
\mathnet{http://mi.mathnet.ru/ivm9794}
\crossref{https://doi.org/10.26907/0021-3446-2022-7-73-78}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 7
\pages 64--69
\crossref{https://doi.org/10.3103/S1066369X22070015}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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