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Integral Operator of Analytic Functions with Positive Real Part
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  • Journal title : Kyungpook mathematical journal
  • Volume 51, Issue 1,  2011, pp.77-85
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2011.51.1.077
 Title & Authors
Integral Operator of Analytic Functions with Positive Real Part
Frasin, Basem Aref;
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 Abstract
In this paper, we introduce the integral operator (, , ; , , )(z) analytic functions with positive real part. The radius of convexity of this integral operator when = 1 is determined. In particular, we get the radius of starlikeness and convexity of the analytic functions with Re {f(z)/z} > 0 and Re {f'(z)} > 0. Furthermore, we derive sufficient condition for the integral operator (, , ; , , )(z) to be analytic and univalent in the open unit disc, which leads to univalency of the operators dt and .
 Keywords
Analytic and univalent functions;Starlike and convex functions;Functions of positive real part;Integral operator;
 Language
English
 Cited by
1.
On General Integral Operator of Analytic Functions, Abstract and Applied Analysis, 2013, 2013, 1  crossref(new windwow)
2.
General Integral Operator of Analytic Functions Involving Functions with Positive Real Part, Journal of Mathematics, 2013, 2013, 1  crossref(new windwow)
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