Ozaki's conditions for general integral operator

Ozaki's conditions for general integral operator

Assume that $mathbb{D}$ is the open unit disk. Applying Ozaki's conditions, we consider two classes of locally univalent, which denote by $mathcal{G}(alpha)$ and $mathcal{F}(mu)$ as follows begin{equation*}  mathcal{G}(alpha):=left{fin mathcal{A}:mathfrak{Re}left( 1+frac{zf^{prime prime }(z)}{f...

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Main Authors: Rahim Kargar, Ali Ebadian
Format: Article
Language:English
Published: University of Maragheh 2017-01-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Starlike function
Convex function
Locally univalent
Integral operator
Ozaki's conditions
Online Access:http://scma.maragheh.ac.ir/article_17786_7cc766b7af9e228a4c99a78217ebf0de.pdf
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spelling doaj-9cd295d16671437aa1a865010dd4be892020-11-24T22:52:05ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002017-01-0151616717786Ozaki's conditions for general integral operatorRahim Kargar0Ali Ebadian1Department of Mathematics, Payame Noor University, I. R. of Iran.Department of Mathematics, Payame Noor University, I. R. of Iran.Assume that $mathbb{D}$ is the open unit disk. Applying Ozaki's conditions, we consider two classes of locally univalent, which denote by $mathcal{G}(alpha)$ and $mathcal{F}(mu)$ as follows begin{equation*}  mathcal{G}(alpha):=left{fin mathcal{A}:mathfrak{Re}left( 1+frac{zf^{prime prime }(z)}{f^{prime }(z)}right)http://scma.maragheh.ac.ir/article_17786_7cc766b7af9e228a4c99a78217ebf0de.pdfStarlike functionConvex functionLocally univalentIntegral operatorOzaki's conditions
collection DOAJ
language English
format Article
sources DOAJ
author Rahim Kargar
Ali Ebadian
spellingShingle Rahim Kargar
Ali Ebadian
Ozaki's conditions for general integral operator
Sahand Communications in Mathematical Analysis
Starlike function
Convex function
Locally univalent
Integral operator
Ozaki's conditions
author_facet Rahim Kargar
Ali Ebadian
author_sort Rahim Kargar
title Ozaki's conditions for general integral operator
title_short Ozaki's conditions for general integral operator
title_full Ozaki's conditions for general integral operator
title_fullStr Ozaki's conditions for general integral operator
title_full_unstemmed Ozaki's conditions for general integral operator
title_sort ozaki's conditions for general integral operator
publisher University of Maragheh
series Sahand Communications in Mathematical Analysis
issn 2322-5807
2423-3900
publishDate 2017-01-01
description Assume that $mathbb{D}$ is the open unit disk. Applying Ozaki's conditions, we consider two classes of locally univalent, which denote by $mathcal{G}(alpha)$ and $mathcal{F}(mu)$ as follows begin{equation*}  mathcal{G}(alpha):=left{fin mathcal{A}:mathfrak{Re}left( 1+frac{zf^{prime prime }(z)}{f^{prime }(z)}right)
topic Starlike function
Convex function
Locally univalent
Integral operator
Ozaki's conditions
url http://scma.maragheh.ac.ir/article_17786_7cc766b7af9e228a4c99a78217ebf0de.pdf
work_keys_str_mv AT rahimkargar ozakisconditionsforgeneralintegraloperator
AT aliebadian ozakisconditionsforgeneralintegraloperator
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