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Математические заметки, 2023, том 114, выпуск 6, статья опубликована в англоязычной версии журнала
(Mi mzm14270)
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System of Partial Differential Equations and Analytical Representations of the Weierstrass Sigma Function
M. M. Alekseevab, S. I. Bezrodnykha a Federal Research Center “Computer Science and Control” of Russian Academy of Sciences, Moscow, 119333, Russia
b Bauman Moscow State Technical University, Moscow, 105005, Russia
Аннотация:
We obtain a power series representation of the Weierstrass sigma function arising in the theory of elliptic functions and derive a differential–recurrence equation as well as closed-form expressions for its coefficients. These results are obtained using the Weierstrass system of partial differential equations satisfied by the sigma function.
Ключевые слова:
elliptic function, Weierstrass function.
Поступило: 03.10.2023 Исправленный вариант: 03.10.2023
Образец цитирования:
M. M. Alekseev, S. I. Bezrodnykh, “System of Partial Differential Equations and Analytical Representations of the Weierstrass Sigma Function”, Math. Notes, 114:6 (2023), 1094–1102
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/mzm14270
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