Characterizations of transcendental entire solutions of trinomial partial differential-difference equations in ℂ2#

• Autorzy: Xu Hong Yan , Haldar Goutam

Identyfikatory

DOI

10.1515/dema-2024-0052

• Języki publikacji: EN

Abstrakty

EN

This study is devoted to exploring the existence and the precise form of finite-order transcendental entire solutions of second-order trinomial partial differential-difference equations [formula] and [formula], where L(f) and ˜L(f) are defined in (2.1) and (2.2), respectively, and g(z) is a polynomial in C2. Our results are the extensions of some of the previous results of Liu et al. Also, we exhibit a series of examples to explain that the forms of transcendental entire solutions of finite-order in our results are precise.

Słowa kluczowe

EN

functions of several complex variables; Fermat-type equations; entire solutions; Nevanlinna theory

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20240052
• Opis fizyczny: Bibliogr. 40 poz.

Twórcy

autor

Xu Hong Yan

• School of Arts and Sciences, Suqian University, Suqian, Jiangsu 223800, P. R. China

autor

Haldar Goutam

• Department of Mathematics, Ghani Khan Choudhury Institute of Engineering and Technology, Narayanpur, Malda, PIN 732141, West Bengal, India

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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 (2026).