Entire solutions of the second-order Fermat-type differential-difference equation

DOI10.1155/2020/4871812zbMath1489.30038OpenAlexW3040276368WikidataQ115243829 ScholiaQ115243829MaRDI QIDQ2194671

Jinhua Cai, Guoqiang Dang

Publication date: 7 September 2020

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/4871812

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Functional-differential and differential-difference operators (47E07)

Related Items (1)

Characterizations of entire solutions for the system of Fermat-type binomial and trinomial shift equations in \(\mathbb{C}^{n\#} \)

Cites Work

• Entire solutions of Fermat type differential-difference equations
• On the equation \(a{f^n} + b (f')^m \equiv 1\)
• On the transcendental solutions of a certain type of nonlinear differential equations
• Meromorphic functions sharing a set with applications to difference equations
• Nevanlinna theory, normal families, and algebraic differential equations
• Existence of entire solutions of nonlinear difference equations
• On the equation 𝑓ⁿ+𝑔ⁿ=1
• On the Functional Equation f n +g n = h n
• A Generalization of a Theorem of P. Montel on Entire Functions
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