Value distributions and uniqueness of difference polynomials

DOI10.1155/2011/234215zbMath1216.30035OpenAlexW1989497617WikidataQ59266662 ScholiaQ59266662MaRDI QIDQ537168

Kai Liu, Ting-Bin Cao, Xin-Ling Liu

Publication date: 19 May 2011

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/222519

zbMATH Keywords

difference polynomialsdistributions of zerosmeoromorphic function

Mathematics Subject Classification ID

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

Related Items (18)

Value sharing problems for differential and difference polynomials of meromorphic functions in a non-Archimedean field ⋮ Results on the deficiencies of some differential-difference polynomials of meromorphic functions ⋮ Some \(q\)-shift difference results on Hayman conjecture and uniqueness theorems ⋮ Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight ⋮ The zeros of differential-difference polynomials of certain types ⋮ The zeros of \(q\)-shift difference polynomials of meromorphic functions ⋮ On the value distribution and uniqueness of difference polynomials of meromorphic functions ⋮ The zeros on complex differential-difference polynomials of certain types ⋮ Unnamed Item ⋮ The zeros of difference polynomials of meromorphic functions ⋮ Results on certain types of \(q\)-shift difference polynomials ⋮ Q-shift differential polynomial of meromorphic functions sharing 1 value ⋮ Properties of \(q\)-shift difference-differential polynomials of meromorphic functions ⋮ Uniqueness of difference-differential polynomials of meromorphic functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Value sharing results for \(q\)-shifts difference polynomials ⋮ Sharing values of \(q\)-difference-differential polynomials

Cites Work

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• Value distribution of the difference operator
• Über ein Problem von Hayman
• On the singularities of the inverse to a meromorphic function of finite order
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations
• A NOTE ON VALUE DISTRIBUTION OF DIFFERENCE POLYNOMIALS
• ON THE UNIQUENESS OF ENTIRE FUNCTIONS
• UNIQUENESS OF ENTIRE FUNCTIONS AND DIFFERENTIAL POLYNOMIALS
• NON-LINEAR DIFFERENTIAL POLYNOMIALS SHARING 1-POINTS
• Value distribution of differences of meromorphic functions

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