Borel exceptional values of meromorphic solutions of Painlevé III difference equations

DOI10.1186/1687-1847-2014-144zbMath1417.30024OpenAlexW2098539126WikidataQ59323673 ScholiaQ59323673MaRDI QIDQ1720243

Hong-Xun Yi, Ji-Long Zhang

Publication date: 8 February 2019

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-144

zbMATH Keywords

differencemeromorphic solutionBorel exceptional values

Mathematics Subject Classification ID

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

Related Items (2)

Some results on the Painlevé III difference equations with constant coefficients ⋮ Value distribution of meromorphic solutions of certain difference Painlevé III equations

Cites Work

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• Finite order meromorphic solutions of linear difference equations
• 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
• Properties of meromorphic solutions of Painlevé III difference equations
• Results on meromorphic solutions of linear difference equations
• On properties of meromorphic solutions for complex difference equation of Malmquist type
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Finite-order meromorphic solutions and the discrete Painlevé equations
• Entire solutions of q-difference equations and value distribution of q-difference polynomials
• Clunie theorems for difference and q -difference polynomials

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