Zeros, poles, and fixed points of meromorphic solutions of difference Painlevé equations

DOI10.1155/2014/782024zbMath1474.39012OpenAlexW2053075992WikidataQ59041412 ScholiaQ59041412MaRDI QIDQ1724949

Zong Xuan Chen, Shuang Ting Lan

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/782024

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Discrete version of topics in analysis (39A12)

Related Items (1)

Value distribution of meromorphic solutions of certain difference Painlevé III equations

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
• On properties of meromorphic solutions of certain difference Painlevé III equations
• Existence of finite-order meromorphic solutions as a detector of integrability in difference equations
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• On the extension of the Painlevé property to difference equations
• Clunie theorems for difference and q -difference polynomials
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