Initial bounds for certain subclasses of generalized salagean type Bi-univalent functions associated with the Horadam polynomials

This study proposes the use of Horadam polynomials which are known as their special cases, such as the Fibonacci polynomials, the Lucas polynomials, the Pell polynomials, the Pell-Lucas polynomials, and Chebyshev polynomials of the second kind. The aim of this study is to introduce a new subclass of...

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Main Authors: Sakar, F. Muge, Aydogan, S. Melike
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2019
Online Access:http://journalarticle.ukm.my/13867/
http://journalarticle.ukm.my/13867/
http://journalarticle.ukm.my/13867/1/jqma-15-1-paper8.pdf
id ukm-13867
recordtype eprints
spelling ukm-138672020-01-06T08:56:12Z http://journalarticle.ukm.my/13867/ Initial bounds for certain subclasses of generalized salagean type Bi-univalent functions associated with the Horadam polynomials Sakar, F. Muge Aydogan, S. Melike This study proposes the use of Horadam polynomials which are known as their special cases, such as the Fibonacci polynomials, the Lucas polynomials, the Pell polynomials, the Pell-Lucas polynomials, and Chebyshev polynomials of the second kind. The aim of this study is to introduce a new subclass of generalized Sǎlǎgean type bi-univalent functions using Hadamard product and defined by Horadam polynomials ()nx in the open unit disk {z:1}.UCz We obtained coefficient estimates of the Taylor-Maclaurin 2a and 3a for functions f belonging to this newly defined subclass. Fekete-Szegö inequalities were also studied. Moreover, we give some interesting results using the relation between Sǎlǎgean’s differential operator and generalized Sǎlǎgean differential operator. Penerbit Universiti Kebangsaan Malaysia 2019-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/13867/1/jqma-15-1-paper8.pdf Sakar, F. Muge and Aydogan, S. Melike (2019) Initial bounds for certain subclasses of generalized salagean type Bi-univalent functions associated with the Horadam polynomials. Journal of Quality Measurement and Analysis, 15 (1). pp. 89-100. ISSN 1823-5670 http://www.ukm.my/jqma/jqma15_1a.html
repository_type Digital Repository
institution_category Local University
institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
collection Online Access
language English
description This study proposes the use of Horadam polynomials which are known as their special cases, such as the Fibonacci polynomials, the Lucas polynomials, the Pell polynomials, the Pell-Lucas polynomials, and Chebyshev polynomials of the second kind. The aim of this study is to introduce a new subclass of generalized Sǎlǎgean type bi-univalent functions using Hadamard product and defined by Horadam polynomials ()nx in the open unit disk {z:1}.UCz We obtained coefficient estimates of the Taylor-Maclaurin 2a and 3a for functions f belonging to this newly defined subclass. Fekete-Szegö inequalities were also studied. Moreover, we give some interesting results using the relation between Sǎlǎgean’s differential operator and generalized Sǎlǎgean differential operator.
format Article
author Sakar, F. Muge
Aydogan, S. Melike
spellingShingle Sakar, F. Muge
Aydogan, S. Melike
Initial bounds for certain subclasses of generalized salagean type Bi-univalent functions associated with the Horadam polynomials
author_facet Sakar, F. Muge
Aydogan, S. Melike
author_sort Sakar, F. Muge
title Initial bounds for certain subclasses of generalized salagean type Bi-univalent functions associated with the Horadam polynomials
title_short Initial bounds for certain subclasses of generalized salagean type Bi-univalent functions associated with the Horadam polynomials
title_full Initial bounds for certain subclasses of generalized salagean type Bi-univalent functions associated with the Horadam polynomials
title_fullStr Initial bounds for certain subclasses of generalized salagean type Bi-univalent functions associated with the Horadam polynomials
title_full_unstemmed Initial bounds for certain subclasses of generalized salagean type Bi-univalent functions associated with the Horadam polynomials
title_sort initial bounds for certain subclasses of generalized salagean type bi-univalent functions associated with the horadam polynomials
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2019
url http://journalarticle.ukm.my/13867/
http://journalarticle.ukm.my/13867/
http://journalarticle.ukm.my/13867/1/jqma-15-1-paper8.pdf
first_indexed 2023-09-18T20:05:49Z
last_indexed 2023-09-18T20:05:49Z
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