Fekete–Szegö inequalities for certain class of meromorphic functions

In this paper, we obtain Fekete–Szegö inequalities for a certain class of meromorphic functions f(z) for which -zf′(z)+αz2f″(z)(1-α)f(z)+αzf′(z)≺φ(z)(α∈C-(0,1]). Sharp bounds for the Fekete–Szegö functional a1-μa02 are obtained.

Bibliographic Details
Main Authors:	M.K. Aouf, R.M. El-Ashwah, H.M. Zayed
Format:	Article
Language:	English
Published:	SpringerOpen 2013-10-01
Series:	Journal of the Egyptian Mathematical Society
Subjects:	Analytic Meromorphic Starlike and convex functions Fekete–Szegö problem Convolution
Online Access:	http://www.sciencedirect.com/science/article/pii/S1110256X13000436

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spelling	doaj-671cfb90d86b4c16be3ee57ac954c7f72020-11-24T21:47:05ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2013-10-0121319720010.1016/j.joems.2013.03.013Fekete–Szegö inequalities for certain class of meromorphic functionsM.K. Aouf0R.M. El-Ashwah1H.M. Zayed2Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, EgyptDepartment of Mathematics, Faculty of Science, Menofia University, Shebin Elkom 32511, EgyptIn this paper, we obtain Fekete–Szegö inequalities for a certain class of meromorphic functions f(z) for which -zf′(z)+αz2f″(z)(1-α)f(z)+αzf′(z)≺φ(z)(α∈C-(0,1]). Sharp bounds for the Fekete–Szegö functional a1-μa02 are obtained.http://www.sciencedirect.com/science/article/pii/S1110256X13000436AnalyticMeromorphicStarlike and convex functionsFekete–Szegö problemConvolution
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	M.K. Aouf R.M. El-Ashwah H.M. Zayed
spellingShingle	M.K. Aouf R.M. El-Ashwah H.M. Zayed Fekete–Szegö inequalities for certain class of meromorphic functions Journal of the Egyptian Mathematical Society Analytic Meromorphic Starlike and convex functions Fekete–Szegö problem Convolution
author_facet	M.K. Aouf R.M. El-Ashwah H.M. Zayed
author_sort	M.K. Aouf
title	Fekete–Szegö inequalities for certain class of meromorphic functions
title_short	Fekete–Szegö inequalities for certain class of meromorphic functions
title_full	Fekete–Szegö inequalities for certain class of meromorphic functions
title_fullStr	Fekete–Szegö inequalities for certain class of meromorphic functions
title_full_unstemmed	Fekete–Szegö inequalities for certain class of meromorphic functions
title_sort	fekete–szegö inequalities for certain class of meromorphic functions
publisher	SpringerOpen
series	Journal of the Egyptian Mathematical Society
issn	1110-256X
publishDate	2013-10-01
description	In this paper, we obtain Fekete–Szegö inequalities for a certain class of meromorphic functions f(z) for which -zf′(z)+αz2f″(z)(1-α)f(z)+αzf′(z)≺φ(z)(α∈C-(0,1]). Sharp bounds for the Fekete–Szegö functional a1-μa02 are obtained.
topic	Analytic Meromorphic Starlike and convex functions Fekete–Szegö problem Convolution
url	http://www.sciencedirect.com/science/article/pii/S1110256X13000436
work_keys_str_mv	AT mkaouf feketeszegoinequalitiesforcertainclassofmeromorphicfunctions AT rmelashwah feketeszegoinequalitiesforcertainclassofmeromorphicfunctions AT hmzayed feketeszegoinequalitiesforcertainclassofmeromorphicfunctions
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Fekete–Szegö inequalities for certain class of meromorphic functions

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