Some Interesting Properties of a Novel Subclass of Multivalent Function with Positive Coefficients

In this paper, we introduce a new class of multivalent functions defined by where is a subclass of analytic and multivalent functions in the open unit disc { | | }. Moreover, we consider and prove theorems explain Some of the geometric properties for such new class was such as, coefficient estimate...

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Main Authors: Waggas Galib Atshan, Aqeel AL-khafaji
Format: Article
Language:English
Published: Faculty of Computer Science and Mathematics, University of Kufa 2019-05-01
Series:Journal of Kufa for Mathematics and Computer
Subjects:
Online Access:https://journal.uokufa.edu.iq/index.php/jkmc/article/view/2077
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author Waggas Galib Atshan
Aqeel AL-khafaji
author_facet Waggas Galib Atshan
Aqeel AL-khafaji
author_sort Waggas Galib Atshan
collection DOAJ
description In this paper, we introduce a new class of multivalent functions defined by where is a subclass of analytic and multivalent functions in the open unit disc { | | }. Moreover, we consider and prove theorems explain Some of the geometric properties for such new class was such as, coefficient estimates, growth and distortion, extreme points, radii of starlikeness, convexity and close-to-convexity as well as the convolution properties for the class
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spelling doaj.art-7783b38da7994810882b619f3ee6f2712024-03-10T10:24:28ZengFaculty of Computer Science and Mathematics, University of KufaJournal of Kufa for Mathematics and Computer2076-11712518-00102019-05-016110.31642/JoKMC/2018/060103Some Interesting Properties of a Novel Subclass of Multivalent Function with Positive CoefficientsWaggas Galib Atshan0Aqeel AL-khafaji1University of Al-QadisiyahUniversity of Baghdad In this paper, we introduce a new class of multivalent functions defined by where is a subclass of analytic and multivalent functions in the open unit disc { | | }. Moreover, we consider and prove theorems explain Some of the geometric properties for such new class was such as, coefficient estimates, growth and distortion, extreme points, radii of starlikeness, convexity and close-to-convexity as well as the convolution properties for the class https://journal.uokufa.edu.iq/index.php/jkmc/article/view/2077Multivalent function coefficient estimates Hadamard product growth theorem
spellingShingle Waggas Galib Atshan
Aqeel AL-khafaji
Some Interesting Properties of a Novel Subclass of Multivalent Function with Positive Coefficients
Journal of Kufa for Mathematics and Computer
Multivalent function
coefficient estimates
Hadamard product
growth theorem
title Some Interesting Properties of a Novel Subclass of Multivalent Function with Positive Coefficients
title_full Some Interesting Properties of a Novel Subclass of Multivalent Function with Positive Coefficients
title_fullStr Some Interesting Properties of a Novel Subclass of Multivalent Function with Positive Coefficients
title_full_unstemmed Some Interesting Properties of a Novel Subclass of Multivalent Function with Positive Coefficients
title_short Some Interesting Properties of a Novel Subclass of Multivalent Function with Positive Coefficients
title_sort some interesting properties of a novel subclass of multivalent function with positive coefficients
topic Multivalent function
coefficient estimates
Hadamard product
growth theorem
url https://journal.uokufa.edu.iq/index.php/jkmc/article/view/2077
work_keys_str_mv AT waggasgalibatshan someinterestingpropertiesofanovelsubclassofmultivalentfunctionwithpositivecoefficients
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