Entire functions that share a small function with their derivatives

DOI10.1016/j.jmaa.2008.07.080zbMath1162.30021OpenAlexW2027836007MaRDI QIDQ2518317

Yingzhong Zhu, Jian Ming Chang

Publication date: 15 January 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.07.080

zbMATH Keywords

differential equationentire functionsmeromorphic functions

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Related Items (19)

On the study of Brück conjecture and some non-linear complex differential equations ⋮ Value sharing of meromorphic functions and their derivatives ⋮ Brück conjecture with hyper-order \(\sigma_{\mathbf {2}}(f) < \mathbf {1}\) and linear differential polynomials ⋮ On some complex differential and difference equations concerning sharing function ⋮ UNIQUENESS OF MEROMORPHIC FUNCTIONS CONCERNING THE SHIFTS AND DERIVATIVES ⋮ Growth of meromorphic function sharing functions and some uniqueness problems ⋮ Relationship between entire functions and their derivatives sharing small function except a set ⋮ A result on Bruck Conjecture related to Shift Polynomials ⋮ The uniqueness of the entire functions whose \(n\)-th powers share a small function with their derivatives ⋮ Brück conjecture and linear differential polynomials ⋮ The Infinite Hyper Order of Solutions of Differential Equation Related to Brück Conjecture ⋮ Uniqueness of entire functions sharing an entire function of smaller order with their derivatives ⋮ On the growth of solutions of some non-linear complex differential equations ⋮ ON THE BRÜCK CONJECTURE ⋮ A Survey on a Conjecture of Rainer Brück ⋮ On the uniqueness problems of meromorphic functions and their linear differential polynomials ⋮ Uniqueness of entire function sharing a small function with its derivative ⋮ Further study on the Brück conjecture and some non-linear complex differential equations ⋮ On unicity of meromorphic functions concerning the shifts and derivatives

Cites Work

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• Entire functions that share one value with one or two of their derivatives
• A uniqueness theorem for meromorphic functions whose \(N\)-th derivatives share the same 1-points
• On entire functions which share one value CM with their first derivative
• Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
• Finite Order Solutions of Second Order Linear Differential Equations

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