Uniqueness theorems of difference operator on entire functions

DOI10.1155/2013/361491zbMath1291.30199OpenAlexW2061527042WikidataQ58921532 ScholiaQ58921532MaRDI QIDQ1956040

Jie Ding

Publication date: 13 June 2013

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/361491

Mathematics Subject Classification ID

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)

Cites Work

• Some results about a special nonlinear difference equation and uniqueness of difference polynomial
• Uniqueness and periodicity of meromorphic functions concerning the difference operator
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Value distribution of difference polynomials
• Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity
• Complex difference equations of Malmquist type
• 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
• Distribution of zeros and shared values of difference operators
• Zeros of differences of meromorphic functions
• Finite-order meromorphic solutions and the discrete Painlevé equations
• On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions
• UNIQUENESS THEOREMS OF MEROMORPHIC FUNCTIONS OF A CERTAIN FORM

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