Properties of meromorphic solutions of Painlevé III difference equations

DOI10.1186/1687-1847-2013-256zbMath1375.30036OpenAlexW2115988061WikidataQ59300972 ScholiaQ59300972MaRDI QIDQ1682141

Ji-Long Zhang, Hong-Xun Yi

Publication date: 28 November 2017

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-256

zbMATH Keywords

difference equationmeromorphic solutionfinite order

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Additive difference equations (39A10)

Related Items (8)

Existence of zero-order meromorphic solutions of certain \(q\)-difference equations ⋮ Results on solutions for several \(q\)-Painlevé difference equations concerning rational solutions, zeros, and poles ⋮ Meromorphic solutions of difference Painlevé IV equations ⋮ Some results on the Painlevé III difference equations with constant coefficients ⋮ Value distribution of meromorphic solutions of certain difference Painlevé III equations ⋮ Borel exceptional values of meromorphic solutions of Painlevé III difference equations ⋮ The properties of solutions for several types of Painlevé equations concerning fixed-points, zeros and poles ⋮ Meromorphic solutions of Painlevé III difference equations with Borel exceptional values

Cites Work

• Value distribution of meromorphic solutions of certain difference Painlevé equations
• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Finite-order meromorphic solutions and the discrete Painlevé equations
• Clunie theorems for difference and q -difference polynomials
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