Some properties of convolution operators in the class \({\mathcal P}_ \alpha(\beta)\)
type: Item
instance of: scholarly article
title: Some properties of convolution operators in the class \({\mathcal P}_ \alpha(\beta)\)
zbMATH Open document ID: 0808.30010
author: Sang Hun Lee
author: Yong Chan Kim
author: H. M. Srivastava
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-01-23T00:00:00Z
review text: Making use of several families of convolution operators, we introduce and study a certain general class \({\mathcal P}_ \alpha(\beta)\) \((0\leq \alpha< 1;\;\beta\geq 0)\) of analytic functions in the open unit disk \({\mathbf U}\). We also investigate the relationships between the class \({\mathcal P}_ \alpha(\beta)\) and the Hardy space \({\mathcal H}^ \infty\) (of bounded analytic functions in \({\mathbf U}\)). Finally, we consider some interesting applications of the results presented here to a class of generalized hypergeometric functions.
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30H05
Mathematics Subject Classification ID: 33C20
zbMATH DE Number: 703341
reviewed by: Yong-Cheol Kim
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1370
OpenAlex ID: W2005987506
DOI: 10.1006/JMAA.1994.1370
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description: scientific article; zbMATH DE number 703341