On certain subclass of p-valent functions with positive coefficients

In this article, a certain differential operator , k ( ) p S f z α,β,λ,δ and a subclass S n,p(α,β,δ,λ, p) for analytic functions with positive coefficients of the form Σ∞ = + = + 1 ( ) n p n n f z z p a z are introduced. Some properties such as the coefficients inequalities, distortion theore...

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Main Authors: Anas Aljarah, Maslina Darus
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2014
Online Access:http://journalarticle.ukm.my/8606/1/jqma-10-2-paper4.pdf
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author Anas Aljarah,
Maslina Darus,
author_facet Anas Aljarah,
Maslina Darus,
author_sort Anas Aljarah,
collection UKM
description In this article, a certain differential operator , k ( ) p S f z α,β,λ,δ and a subclass S n,p(α,β,δ,λ, p) for analytic functions with positive coefficients of the form Σ∞ = + = + 1 ( ) n p n n f z z p a z are introduced. Some properties such as the coefficients inequalities, distortion theorem, radii of starlikeness and convexity, closure theorems and extreme points are given. A class preserving an integral operator is also stated.
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spelling ukm.eprints-86062016-12-14T06:47:41Z http://journalarticle.ukm.my/8606/ On certain subclass of p-valent functions with positive coefficients Anas Aljarah, Maslina Darus, In this article, a certain differential operator , k ( ) p S f z α,β,λ,δ and a subclass S n,p(α,β,δ,λ, p) for analytic functions with positive coefficients of the form Σ∞ = + = + 1 ( ) n p n n f z z p a z are introduced. Some properties such as the coefficients inequalities, distortion theorem, radii of starlikeness and convexity, closure theorems and extreme points are given. A class preserving an integral operator is also stated. Penerbit Universiti Kebangsaan Malaysia 2014-12 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/8606/1/jqma-10-2-paper4.pdf Anas Aljarah, and Maslina Darus, (2014) On certain subclass of p-valent functions with positive coefficients. Journal of Quality Measurement and Analysis, 10 (2). pp. 41-50. ISSN 1823-5670 http://www.ukm.my/jqma/jqma10_2a.html
spellingShingle Anas Aljarah,
Maslina Darus,
On certain subclass of p-valent functions with positive coefficients
title On certain subclass of p-valent functions with positive coefficients
title_full On certain subclass of p-valent functions with positive coefficients
title_fullStr On certain subclass of p-valent functions with positive coefficients
title_full_unstemmed On certain subclass of p-valent functions with positive coefficients
title_short On certain subclass of p-valent functions with positive coefficients
title_sort on certain subclass of p valent functions with positive coefficients
url http://journalarticle.ukm.my/8606/1/jqma-10-2-paper4.pdf
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