Some results on the Painlevé III difference equations with constant coefficients

DOI10.3103/S1068362320020065zbMath1451.30065OpenAlexW3161997075MaRDI QIDQ2208794

Lei Liu, Ji-Long Zhang

Publication date: 4 November 2020

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362320020065

zbMATH Keywords

meromorphic solutionsPainlevé difference equationmeromorphic functions of finite order

Mathematics Subject Classification ID

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

Cites Work

• Some results on difference Riccati 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
• Borel exceptional values of meromorphic solutions of Painlevé III difference 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
• Finite-order meromorphic solutions and the discrete Painlevé equations
• Clunie theorems for difference and q -difference polynomials
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