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arXiv · 1804.03868

Radii of convexity of integral operators

P. Najmadi·Sh. Najafzadeh·A. Ebadian
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Abstract

The object of the present paper is to study of radius of convexity two certain integral operators as follows \begin{equation*} F(z):=\int_{0}^{z}\prod_{i=1}^{n}\left(f'_i(t)\right)^{γ_i}{\rm d}t \end{equation*} and \begin{equation*} J(z):=\int_{0}^{z}\prod_{i=1}^{n}\left(f'_i(t)\right)^{γ_i}\prod_{j=1}^{m} \left(\frac{g_j(z)}{z}\right)^{λ_j}{\rm d}t, \end{equation*} where $γ_i, λ_i\in\mathbb{C}$, $f_i$ $(1\leq i\leq n)$ and $g_j$ $(1\leq j\leq m)$ belong to the certain subclass of analytic functions.

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P. Najmadi, Sh. Najafzadeh, A. Ebadian. 2018-04-11. Radii of convexity of integral operators. https://doi.org/10.22436/jmcs.017.01.01

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