Bloch and normal functions and their relation
type: Item
instance of: scholarly article
title: Bloch and normal functions and their relation
zbMATH Open document ID: 0685.30027
DOI: 10.1007/BF02843992
author: Flavia Colonna
publication date: 1989-01-01T00:00:00Z
review text: The author gives a discussion of certain known results (Theorems 1-11) concerning normal functions and Bloch functions defined in the unit disk. The relation \(f(z)=\exp (\zeta \cdot h(z))\), where \(\zeta\) is a constant, is considered. It is known that if h(z) is a Bloch function, then f(z) is normal. An example is given (Theorem 12) where f(z) is normal, but h(z) is not a Bloch function.
Mathematics Subject Classification ID: 30D45
zbMATH DE Number: 4122299
zbMATH Keywords: normal functions
zbMATH Keywords: Bloch functions
reviewed by: Stephen Dragosh
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02843992
OpenAlex ID: W1985994842
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 4122299