On the growth of meromorphic solutions of an algebraic differential equation
type: Item
instance of: scholarly article
title: On the growth of meromorphic solutions of an algebraic differential equation
zbMATH Open document ID: 0566.34028
author: Nobushige Toda
published in: Proceedings of the Japan Academy. Series A
publication date: 1984-01-01T00:00:00Z
review text: The author considers the differential equation \(P(z,w,w',...,w^{(n)})=A(z,w)/B(z,w)\) where P, A, B are polynomials in w (and its derivatives) whose coefficients are meromorphic functions of z. The aim of the paper is a detailed estimate for T(r,w). Here T denotes Nevanlinna's characteristic function.
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 34M05
zbMATH DE Number: 3903079
zbMATH Keywords: algebraic differential equation
zbMATH Keywords: meromorphic coefficients
zbMATH Keywords: Nevanlinna's characteristic function
Wikidata QID: Q115219962
MaRDI profile type: Publication
full work available at URL: pjaa.60.117
OpenAlex ID: W1966493692
cites work: Meromorphic solutions of algebraic differential equations
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cites work: Anwendungen der Wertverteilungslehre auf gewöhnliche Differentialgleichungen
cites work: Q4754190
DOI: 10.3792/PJAA.60.117
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description: scientific article; zbMATH DE number 3903079