Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2013, Number 1, Pages 125–129 (Mi basm332)  
Short communications

The order of convexity for a general integral operator

Laura Stanciua, Daniel Breazb

a University of Piteşti, Department of Mathematics, Argeş, România
b "1 Decembrie 1918" University of Alba Iulia, Department of Mathematics, Alba Iulia, Str. N. Iorga, 510000, No. 11–13, România
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Abstract: In this paper, we consider the classes of the univalent functions denoted by $\mathcal{SH}(\beta)$, $\mathcal{SP}$ and $\mathcal{SP}(\alpha,\beta)$. On these classes we study the order of convexity of the integral operator $\int_0^z(te^{f(t)})^\gamma\,dt$, where the function $f$ belongs to these classes.
Keywords and phrases: analytic function, integral operator, starlike function, convex function.
Received: 17.02.2012
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Document Type: Article
MSC: 30C45, 30C75
Language: English
Citation: Laura Stanciu, Daniel Breaz, “The order of convexity for a general integral operator”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2013, no. 1, 125–129
Citation in format AMSBIB
\Bibitem{StaBre13}
\by Laura~Stanciu, Daniel~Breaz
\paper The order of convexity for a~general integral operator
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2013
\issue 1
\pages 125--129
\mathnet{http://mi.mathnet.ru/basm332}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3155836}
\zmath{https://zbmath.org/?q=an:06181903}
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