Some properties and results for certain subclasses of starlike and convex functions

In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $;  meromorphic and starlike  functions of order $ beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems...

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Main Authors: Mohammad Taati, Sirous Moradi, Shahram Najafzadeh
Format: Article
Language:English
Published: University of Maragheh 2017-07-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:http://scma.maragheh.ac.ir/article_24245_3db9b5e2b7f48b134162a38559056bf6.pdf
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spelling doaj-6c1cbafef32f4be4b87b095f537ac7c72020-11-24T23:15:29ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002017-07-017111524245Some properties and results for certain subclasses of starlike and convex functionsMohammad Taati0Sirous Moradi1Shahram Najafzadeh2Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran.Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $;  meromorphic and starlike  functions of order $ beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.http://scma.maragheh.ac.ir/article_24245_3db9b5e2b7f48b134162a38559056bf6.pdfAnalytic functionsStarlike functionsConvex functionsCoefficient estimates
collection DOAJ
language English
format Article
sources DOAJ
author Mohammad Taati
Sirous Moradi
Shahram Najafzadeh
spellingShingle Mohammad Taati
Sirous Moradi
Shahram Najafzadeh
Some properties and results for certain subclasses of starlike and convex functions
Sahand Communications in Mathematical Analysis
Analytic functions
Starlike functions
Convex functions
Coefficient estimates
author_facet Mohammad Taati
Sirous Moradi
Shahram Najafzadeh
author_sort Mohammad Taati
title Some properties and results for certain subclasses of starlike and convex functions
title_short Some properties and results for certain subclasses of starlike and convex functions
title_full Some properties and results for certain subclasses of starlike and convex functions
title_fullStr Some properties and results for certain subclasses of starlike and convex functions
title_full_unstemmed Some properties and results for certain subclasses of starlike and convex functions
title_sort some properties and results for certain subclasses of starlike and convex functions
publisher University of Maragheh
series Sahand Communications in Mathematical Analysis
issn 2322-5807
2423-3900
publishDate 2017-07-01
description In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $;  meromorphic and starlike  functions of order $ beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.
topic Analytic functions
Starlike functions
Convex functions
Coefficient estimates
url http://scma.maragheh.ac.ir/article_24245_3db9b5e2b7f48b134162a38559056bf6.pdf
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AT sirousmoradi somepropertiesandresultsforcertainsubclassesofstarlikeandconvexfunctions
AT shahramnajafzadeh somepropertiesandresultsforcertainsubclassesofstarlikeandconvexfunctions
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