The exact entire solutions of certain type of nonlinear difference equations

DOI10.3103/S1068362321020059zbMath1461.39009arXiv2007.12311OpenAlexW3176498677MaRDI QIDQ2030192

Yanyan Li

Publication date: 7 June 2021

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

Full work available at URL: https://arxiv.org/abs/2007.12311

zbMATH Keywords

difference equationsNevanlinna theoryRiccati equationentire solution

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Integrable difference and lattice equations; integrability tests (39A36)

Cites Work

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• On the equation \(f^n(z) + g^n(z) = E^{ \alpha z+ \beta }\)
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• ON SOLUTIONS TO NONHOMOGENEOUS ALGEBRAIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATION
• Holomorphic curves with shift-invariant hyperplane preimages
• Clunie theorems for difference and q -difference polynomials

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