Some results about a special nonlinear difference equation and uniqueness of difference polynomial

DOI10.1186/1029-242X-2011-50zbMath1271.30005OpenAlexW2118783943WikidataQ59268993 ScholiaQ59268993MaRDI QIDQ357389

Taiying Zhu, Jie Ding, Jian-Ming Qi

Publication date: 30 July 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2011-50

zbMATH Keywords

Nevanlinna theorydifference equationmeromorphic functionsdifference polynomial

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Functional equations for complex functions (39B32)

Related Items (2)

Uniqueness theorems of difference operator on entire functions ⋮ The zeros of complex differential-difference polynomials

Cites Work

• Uniqueness and periodicity of meromorphic functions concerning the difference operator
• Picard values of meromorphic functions and their derivatives
• Value distribution of difference polynomials
• On analogies between nonlinear difference and differential equations
• Value distribution and shared sets of differences of meromorphic functions
• Value distribution of the difference operator
• Über ein Problem von Hayman
• Estimates of the proximate function of differential polynomials
• On the nonexistence of entire solutions of certain type of nonlinear differential equations
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• On meromorphic solutions of certain nonlinear differential equations
• On a Result of Hayman

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