Non-existence of entire solution of a type of system of equations

DOI10.3770/J.ISSN:2095-2651.2024.02.008MaRDI QIDQ6583586

Ying Zhang, Zhiwei Zhou, Zhigang Huang

Publication date: 6 August 2024

Published in: Journal of Mathematical Research with Applications (Search for Journal in Brave)

zbMATH Keywords

transcendental entire functionfinite ordersystem of differential-difference equations

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Difference equations in the complex domain (39A45)

Cites Work

• Title not available (Why is that?)
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• Entire solutions of Fermat type differential-difference equations
• On the Fermat-type equation \({f^3(z)+f^3(z+c)=1}\)
• Existence of entire solutions of some non-linear differential-difference equations
• On the transcendental solutions of a certain type of nonlinear differential equations
• The existence and forms of solutions for some Fermat-type differential-difference equations
• The transcendental meromorphic solutions of a certain type of nonlinear differential equations
• On entire solutions of two types of systems of complex differential-difference equations
• Admissible meromorphic solutions of algebraic differential‐difference equations
• On the equation 𝑓ⁿ+𝑔ⁿ=1
• On a Class of Meromorphic Functions
• A Generalization of a Theorem of P. Montel on Entire Functions
• On the functional equation \[ \sum_{i=0}^ p a_ i f_ i^{n_ i} = 1 \]

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