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http://dx.doi.org/10.5666/KMJ.2015.55.1.109

New Sufficient Conditions for Starlikeness of Certain Integral Operator  

Mishra, Akshaya Kumar (Department of Mathematics, Berhampur University)
Panigrahi, Trailokya (Department of Mathematics, School of Applied Sciences, KIIT University)
Publication Information
Kyungpook Mathematical Journal / v.55, no.1, 2015 , pp. 109-118 More about this Journal
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 $\mathfrak{J}^{{\alpha}_i,{\beta}_i}(f_1,{\ldots},f_n)$, unifies and generalizes several integral operators studied earlier. Interesting sufficient conditions are derived for the univalent starlikeness of $\mathfrak{J}^{{\alpha}_i,{\beta}_i}(f_1,{\ldots},f_n)$.
Keywords
Analytic functions; Integral operator; Starlike functions;
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