Meromorphic solutions of some complex non-linear difference equations
type: Item
instance of: scholarly article
title: Meromorphic solutions of some complex non-linear difference equations
zbMATH Open document ID: 1488.39064
author: Yanyan Li
published in: Analysis Mathematica
publication date: 2021-08-03T00:00:00Z
review text: This nice paper studies the growth and the zeros of meromorphic solutions of the functional equation \[f^2(z + 1) + A_1(z)f(z + 1)f(z) + A_2(z)f^2(z) = A_3(z),\] where \(A_1(z), A_2(z), A_3(z)\) are polynomials and \(A_3(z)\neq 0\). To do this, the authors use Nevalinna theory. The results are quite technical and the same holds with the proofs. The paper is direct continuation of the research of \textit{Y. Liu} [J. Appl. Math. Comput. 61, No. 1--2, 337--348 (2019; Zbl 1427.30060)] and \textit{Z. Chen} [Sci. China, Math. 54, No. 10, 2123--2133 (2011; Zbl 1238.30019)].
Mathematics Subject Classification ID: 39B32
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 7377552
zbMATH Keywords: meromorphic solution
zbMATH Keywords: Fermat functional equation
zbMATH Keywords: value distribution
zbMATH Keywords: growth
reviewed by: Jose Maria Almira
MaRDI profile type: Publication
full work available at URL: s10476-021-0085-7
OpenAlex ID: W3161421012
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DOI: 10.1007/S10476-021-0085-7
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description: scientific article; zbMATH DE number 7377552