Meromorphic solutions of Painlevé III difference equations with Borel exceptional values

DOI10.1186/1029-242X-2014-330zbMath1336.30054WikidataQ59323350 ScholiaQ59323350MaRDI QIDQ257873

Ji-Long Zhang

Publication date: 17 March 2016

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

zbMATH Keywords

rational solutionsmeromorphic solutionsPainlevé III difference equations

Mathematics Subject Classification ID

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

Cites Work

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• 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
• 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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