On classes of analytic functions defined by convolution with incomplete beta functions
type: Item
instance of: scholarly article
title: On classes of analytic functions defined by convolution with incomplete beta functions
zbMATH Open document ID: 1086.30019
author: Khalida Inayat Noor
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-06-10T00:00:00Z
review text: Some new classes of analytic functions in the unit disk are defined by Hadamard product. The definition of the classes involves several parameters. In the paper some inclusion properties are studied. It is shown that these classes are closed under convolution with convex functions.
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 2174943
zbMATH Keywords: starlike function
zbMATH Keywords: univalent function
zbMATH Keywords: Hadamard product
zbMATH Keywords: convex functions
reviewed by: V. V. Goryainov
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.10.043
OpenAlex ID: W2001054282
cites work: Starlike and Prestarlike Hypergeometric Functions
cites work: Functions Starlike and Convex of Order α
cites work: Some radius of convexity problems
cites work: Univalence of Gaussian and Confluent Hypergeometric Functions
cites work: On subclasses of close-to-convex functions of higher order
cites work: Quasi-convex univalent functions
cites work: Q4869488
cites work: New Criteria for Univalent Functions
cites work: Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
DOI: 10.1016/J.JMAA.2004.10.043
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description: scientific article; zbMATH DE number 2174943