Class of multivalent analytic functions defined by a linear operator
type: Item
instance of: scholarly article
title: Class of multivalent analytic functions defined by a linear operator
zbMATH Open document ID: 1268.30017
DOI: 10.1155/2013/509717
published in: Journal of Complex Analysis
publication date: 2013-07-25T00:00:00Z
review text: Summary: Making use of the linear operator \(J^m_p(\lambda, l)\) defined in [\textit{J. K. Prajapat}, Math. Comput. Modelling 55, No. 3--4, 1456--1465 (2012; Zbl 1255.30024)], we introduce the class \(\mathbb B^m_p(\lambda, l, \mu, \alpha)\) of analytic and \(p\)-valent functions in the open unit disk \(\mathcal U\). Furthermore, we obtain some sufficient conditions for starlikeness and close-to-convexity and some angular properties for functions belonging to this class. Several corollaries and consequences of the main results are also considered.
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 6191249
Wikidata QID: Q59006600
author: B. A. Frasin
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/509717
OpenAlex ID: W2039150803
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description: scientific article; zbMATH DE number 6191249