On a problem of Hayman
type: Item
instance of: scholarly article
title: On a problem of Hayman
zbMATH Open document ID: 0714.30031
published in: Kodai Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: Let f be a transcendental meromorphic function in the plane, let k be a positive integer and p a nonzero polynomial. Then the author proves that for any \(\epsilon >0\) \[ T(r,f)\leq (1+(1/k)+\epsilon)\{N(r,1/f)+N(r,1/(f^{(k)}-p))\}+S(r,f), \] where S(r,f) depends on \(\epsilon\). This improves a result of \textit{W. K. Hayman} [Ann. Math., II. Ser. 70, 9-42 (1959; Zbl 0088.285)].
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 4175344
author: Xinhou Hua
reviewed by: Günter Frank
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138039283
OpenAlex ID: W2003962355
cites work: Einige Ergebnisse über die Werteverteilung meromorpher Funktionen und ihrer Ableitungen
cites work: Picard values of meromorphic functions and their derivatives
cites work: Q5723337
cites work: On the Zeros of a Certain Wronskian
DOI: 10.2996/KMJ/1138039283
description: scientific article; zbMATH DE number 4175344