Meromorphic solutions of difference Riccati equations

DOI10.1080/17476933.2016.1204605zbMath1370.39009OpenAlexW2473096939MaRDI QIDQ2960592

Katsuya Ishizaki

Publication date: 17 February 2017

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1204605

zbMATH Keywords

asymptotic expansionslinear difference equationsmeromorphic functionsdifference Riccati equationsvalue distributionsramification relations

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Linear difference equations (39A06) Difference equations in the complex domain (39A45)

Related Items (4)

Meromorphic solutions of algebraic difference equations ⋮ On meromorphic solutions of Malmquist type difference equations ⋮ The periodicity on a transcendental entire function with its differential polynomials ⋮ Binomial series and complex difference equations

Cites Work

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• Finite-order meromorphic solutions and the discrete Painlevé equations
• Meromorphic solutions of higher order Briot–Bouquet differential equations
• Meromorphic solutions of the Riccati differential equation
• Discrete versions of the Painlevé equations
• On the extension of the Painlevé property to difference equations
• Meromorphic solutions of a third order nonlinear differential equation

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