Entire functions sharing one or two finite values CM with their shifts or difference operators

DOI10.1007/s00013-011-0324-4zbMath1243.30068OpenAlexW2088419053MaRDI QIDQ652224

Sheng Li, Zong Sheng Gao

Publication date: 14 December 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0324-4

zbMATH Keywords

derivativedifference operatorshiftshared valueBrück conjecture

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) General theory of difference equations (39A05)

Related Items (17)

On uniqueness of a meromorphic function and its higher difference operators sharing two sets ⋮ UNIQUENESS OF MEROMORPHIC FUNCTIONS CONCERNING THE SHIFTS AND DERIVATIVES ⋮ Meromorphic functions that share values with their shifts or their \(n\)-th order differences ⋮ Uniqueness of difference operators of meromorphic functions ⋮ Uniqueness on entire functions and their \(n\)th order exact differences with two shared values ⋮ The class of meromorphic functions sharing values with their difference polynomials ⋮ Meromorphic functions sharing small functions with their linear difference polynomials ⋮ Meromorphic functions of restricted hyper-order sharing small functions with their linear shift delay differential operator ⋮ Uniqueness theorems on entire functions and their difference operators or shifts ⋮ Uniqueness of entire functions sharing two values with their difference operators ⋮ Some results on entire functions that share one value with their difference operators ⋮ Unicity of entire functions concerning shifts and difference operators ⋮ Unicity of meromorphic functions sharing sets with their linear difference polynomials ⋮ Uniqueness of meromorphic functions with their \(n\)th order differences ⋮ Unnamed Item ⋮ On uniqueness of meromorphic functions and their difference operators with partially shared values ⋮ On unicity of meromorphic functions concerning the shifts and derivatives

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• Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
• On the existence of prime periodic entire functions

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