Expression of Elliptic Functions in Terms of Jacobi Functions

Expression of Elliptic Functions in Terms of Jacobi Functions

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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Veröffentlicht in:Russian mathematics 2022-07, Vol.66 (7), p.64-69
1. Verfasser: Alimov, M. M.
Format: Artikel
Sprache:eng
Schlagworte:
Elliptic functions
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X22070015