New Sufficient Conditions for Starlikeness of Certain Integral Operator

• Journal title : Kyungpook mathematical journal
• Volume 55, Issue 1,  2015, pp.109-118
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2015.55.1.109
Title & Authors
New Sufficient Conditions for Starlikeness of Certain Integral Operator
Mishra, Akshaya Kumar; Panigrahi, Trailokya;

Abstract
In the present paper, a new analytic function valued integral operator is introduced which is defined on n-copies of a subset of the class of normalized analytic functions on the unit disc of the complex plane. This operator, which is denoted here by $\small{\mathfrak{J}^{{\alpha}_i,{\beta}_i}(f_1,{\ldots},f_n)}$, unifies and generalizes several integral operators studied earlier. Interesting sufficient conditions are derived for the univalent starlikeness of $\small{\mathfrak{J}^{{\alpha}_i,{\beta}_i}(f_1,{\ldots},f_n)}$.
Keywords
Analytic functions;Integral operator;Starlike functions;
Language
English
Cited by
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