Zeros and fixed-points on meromorphic solutions of a certain type of first order difference equation

DOI10.1007/S12190-019-01243-4zbMath1427.30060OpenAlexW2931817953WikidataQ128202087 ScholiaQ128202087MaRDI QIDQ2008059

Yong Liu

Publication date: 22 November 2019

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-019-01243-4

zbMATH Keywords

fixed pointmeromorphic functionsdifferencefinite order

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Iteration theory, iterative and composite equations (39B12)

Cites Work

• On difference equations relating to Gamma function
• Some results on difference Riccati equations
• On difference Riccati equations and second order linear difference equations
• On growth, zeros and poles of meromorphic solutions of linear and nonlinear difference equations
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Entire function sharing a small function with its mixed-operators
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Zeros of differences of meromorphic functions
• Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations
• Finite-order meromorphic solutions and the discrete Painlevé equations
• On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions
• On the extension of the Painlevé property to difference equations
• Wiman-Valiron method for difference equations
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