On the growth of non-admissible solutions of the differential equation \((w')^ n=\sum ^{m}_{j=0}a_ jw^ j\)
type: Item
instance of: scholarly article
title: On the growth of non-admissible solutions of the differential equation \((w')^ n=\sum ^{m}_{j=0}a_ jw^ j\)
zbMATH Open document ID: 0566.34029
author: Nobushige Toda
published in: Kodai Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: The coefficients \(a_ j\) of the differential equation are meromorphic in the complex plane. As usual, T(r,f) denotes Nevanlinna's characteristic function. Several estimates are given for T(r,w) in terms of \(T(r,a_ 0),...,T(r,a_ m)\).
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 34M99
zbMATH DE Number: 3903080
zbMATH Keywords: algebraic differential equation
zbMATH Keywords: meromorphic coefficients
zbMATH Keywords: Nevanlinna's characteristic function
MaRDI profile type: Publication
Wikidata QID: Q115224632
full work available at URL: https://doi.org/10.2996/kmj/1138036952
OpenAlex ID: W2095491684
cites work: Zur Theorie der gewohnlichen Differentialgleichungen im Komplexen
cites work: Q5723337
cites work: Q5641413
cites work: On a conjecture of Gackstatter and Laine
cites work: On the conjecture of Gackstatter and Laine concerning the differential equation \((w')^ n=\sum^{m}_{j=0}a_ j(z)w^ j\)
cites work: On an extension of the theorem of Tumura-Clunie
cites work: Sur la dérivée des fonctions algébroïdes
DOI: 10.2996/KMJ/1138036952
description: scientific article; zbMATH DE number 3903080