Uniqueness theorems on entire functions and their difference operators or shifts

DOI10.1155/2012/906893zbMath1258.30010OpenAlexW2070947817WikidataQ58697059 ScholiaQ58697059MaRDI QIDQ437658

Sheng Li, Bao Qin Chen, Zong Xuan Chen

Publication date: 18 July 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/906893

zbMATH Keywords

entire functionsuniqueness problemsdifference operators or shifts

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (11)

Entire functions sharing a small function with their two difference operators ⋮ On the uniqueness theory of entire functions and their difference operators ⋮ Unnamed Item ⋮ Fixed points of meromorphic solutions for some difference equations ⋮ Uniqueness on difference operators of meromorphic functions of infinite order ⋮ Meromorphic functions that share a polynomial with their difference operators ⋮ Uniqueness theorem on meromorphic functions and their difference operators ⋮ On properties of meromorphic solutions of certain difference Painlevé III equations ⋮ Unicity of meromorphic functions sharing sets with their linear difference polynomials ⋮ Uniqueness problems on entire functions that share a small function with their difference operators ⋮ Unicity of meromorphic functions concerning differences and small functions

Cites Work

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• Value distribution of products of meromorphic functions and their differences
• Entire functions sharing one or two finite values CM with their shifts or difference operators
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Value distribution and shared sets of differences of meromorphic functions
• Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity
• On the characteristic of functions meromorphic in the unit disk and of their integrals
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Zeros of differences of meromorphic functions
• Meromorphe funktionen, die mit ihrer ersten und zweiten ableitung einen endlichen wert teilen

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