An entire function and its derivatives sharing a polynomial

DOI10.1016/j.jmaa.2006.07.038zbMath1117.30021OpenAlexW2003871374MaRDI QIDQ874922

Xiao-Min Li, Hong-Xun Yi

Publication date: 10 April 2007

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.2006.07.038

zbMATH Keywords

uniquenessorder of growthvalue sharingEntire function

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (10)

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 ⋮ Growth and fixed points of meromorphic solutions of nonhomogeneous linear differential equations ⋮ Growth of solutions of non-homogeneous linear differential equations and its applications ⋮ Relationship between entire functions and their derivatives sharing small function except a set ⋮ 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 BRÜCK CONJECTURE ⋮ Entire functions sharing a polynomial with their derivatives and normal families ⋮ Entire functions sharing a polynomial with their derivatives

Cites Work

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• Entire functions that share one value with one or two of their derivatives
• On the characteristics of meromorphic functions that share three values CM
• A uniqueness theorem for meromorphic functions whose \(N\)-th derivatives share the same 1-points
• Some further results on the zeros and growths of entire solutions to second order linear differential equations
• On entire functions which share one value CM with their first derivative
• Solution of a differential equation and its applications

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