On the equation [formula]

• Autorzy: Dang Guoqiang

Identyfikatory

DOI

10.1515/dema-2023-0103

• Języki publikacji: EN

Abstrakty

EN

Let n and m be two positive integers, and the second-order Fermat-type functional equation [formula] does not have a nonconstant meromorphic solution in the complex plane, except [formula] The research gives a ready-to-use scheme to study certain Fermat-type functional differential equations in the complex plane by using the Nevanlinna theory, the complex method, and the Weierstrass factorization theorem.

Słowa kluczowe

EN

Fermat-type functional equations; meromorphic functions; elliptic functions; Nevanlinna theory; Weierstrass factorization theorem

PL

równania funkcyjne typu Fermata; funkcje meromorficzne; funkcje eliptyczne; teoria Nevanlinny

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20230103
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Dang Guoqiang

• School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P. R. China

Bibliografia

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• [22] G. Dang, Meromorphic solutions of the seventh-order KdV equation by using an extended complex method and Painlevé analysis, ScienceAsia 49, no. 1, (2023), 108–115, DOI: http://dx.doi.org/10.2306/scienceasia1513-1874.2022.133.
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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).