Higher order difference operators and uniqueness of meromorphic functions

DOI10.1007/S13324-021-00529-WzbMath1468.30053OpenAlexW3156264822MaRDI QIDQ2031881

Yue Fei Wang, Ming-Liang Fang

Publication date: 15 June 2021

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

Full work available at URL: https://doi.org/10.1007/s13324-021-00529-w

zbMATH Keywords

uniquenessvalue distributionmeromorphic functionsBorel exceptional values

Mathematics Subject Classification ID

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

Related Items (2)

On uniqueness of a meromorphic function and its higher difference operators sharing two sets ⋮ Unicity of meromorphic functions concerning differences and small functions

Cites Work

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• Entire functions sharing some values with their difference operators
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Estimates for the zeros of differences of meromorphic functions
• Über ganze Funktionen, welche drei nicht verschwindende Ableitungen besitzen
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Holomorphic curves with shift-invariant hyperplane preimages
• On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions
• Relationships between entire functions and their forward differences
• Clunie theorems for difference and q -difference polynomials

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