Existence of zero-order meromorphic solutions in detecting $q$-difference Painlevé equations

DOI10.1090/tran/6491zbMath1334.39026OpenAlexW2197625601MaRDI QIDQ2790645

Zhi-Tao Wen, Risto Korhonen

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/6491

zbMATH Keywords

Nevanlinna theorymeromorphic solution\(q\)-difference Painlevé equation\( q\)-difference Riccati equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Difference equations, scaling ((q)-differences) (39A13) Difference equations in the complex domain (39A45)

Related Items

Existence of zero-order meromorphic solutions of certain \(q\)-difference equations ⋮ The growth of meromorphic solutions for \(q\)-difference Painlevé IV equation ⋮ Unicity of entire functions concerning their shifts and derivatives ⋮ The properties of solutions for several types of Painlevé equations concerning fixed-points, zeros and poles

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