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The order of convexity for a general integral operator

Authors: Laura Stanciu, Daniel Breaz

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 $\int_0^z\left(t{e}^{f(t)}\right)^{\gamma}dt,$ where the function $f$ belongs to these classes.

Laura Stanciu
University of Piteşti
Department of Mathematics
Argeş, România.
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Daniel Breaz
"1 Decembrie 1918" University of Alba Iulia
Department of Mathematics
Alba Iulia, Str. N. Iorga,
510000, No.11-13, România.
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