On the spherical derivative of an entire function
type: Item
instance of: scholarly article
title: On the spherical derivative of an entire function
zbMATH Open document ID: 0595.30040
DOI: 10.1007/BF01626398
author: Sakari Toppila
published in: Manuscripta Mathematica
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155097
review text: Let f be a transcendental entire function of order \(\lambda\). Denote by \(\mu\) (r,f) the maximum value of the spherical derivative of f on the circle \(| z| =r\). If \(\lambda <\) then \[ \lim \inf_{r\to \infty}(\log \mu (r,f)/\log M(r,f))\leq -\cos \pi \lambda \] and this estimate is the best possible.
Mathematics Subject Classification ID: 30D20
Mathematics Subject Classification ID: 30D30
zbMATH DE Number: 3957561
zbMATH Keywords: spherical derivative
reviewed by: Alexandre Eremenko
MaRDI profile type: Publication
cites work: The Growth of the Spherical Derivative of a Meromorphic Function of Finite Lower Order
cites work: ON A THEOREM OF BESICOVITCH
cites work: Q3240350
cites work: Q5723337
cites work: Q5597066
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description: scientific article; zbMATH DE number 3957561