Univalent Functions Formulated by the Salagean-Difference Operator

Univalent Functions Formulated by the Salagean-Difference Operator

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We present a class of univalent functions Tm(κ, α) formulated by a new differential-difference operator in the open unit disk. The operator is a generalization of the well known Salagean’s differential operator. Based on this operator, we define a generalized class of bounded turning functions. Ineq...

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Bibliographic Details
Main Authors: Rabha W. Ibrahim, Maslina Darus
Format: Article
Language:English
Published: Etamaths Publishing 2019-07-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1882
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spelling doaj-e66c9118cc6e45a8b52b6196324d277c2021-08-26T13:44:39ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392019-07-01174652658395Univalent Functions Formulated by the Salagean-Difference OperatorRabha W. Ibrahim0Maslina DarusumWe present a class of univalent functions Tm(κ, α) formulated by a new differential-difference operator in the open unit disk. The operator is a generalization of the well known Salagean’s differential operator. Based on this operator, we define a generalized class of bounded turning functions. Inequalities, extreme points of Tm(κ, α), some convolution properties of functions fitting to Tm(κ, α), and other properties are discussed.http://etamaths.com/index.php/ijaa/article/view/1882
collection DOAJ
language English
format Article
sources DOAJ
author Rabha W. Ibrahim
Maslina Darus
spellingShingle Rabha W. Ibrahim
Maslina Darus
Univalent Functions Formulated by the Salagean-Difference Operator
International Journal of Analysis and Applications
author_facet Rabha W. Ibrahim
Maslina Darus
author_sort Rabha W. Ibrahim
title Univalent Functions Formulated by the Salagean-Difference Operator
title_short Univalent Functions Formulated by the Salagean-Difference Operator
title_full Univalent Functions Formulated by the Salagean-Difference Operator
title_fullStr Univalent Functions Formulated by the Salagean-Difference Operator
title_full_unstemmed Univalent Functions Formulated by the Salagean-Difference Operator
title_sort univalent functions formulated by the salagean-difference operator
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2019-07-01
description We present a class of univalent functions Tm(κ, α) formulated by a new differential-difference operator in the open unit disk. The operator is a generalization of the well known Salagean’s differential operator. Based on this operator, we define a generalized class of bounded turning functions. Inequalities, extreme points of Tm(κ, α), some convolution properties of functions fitting to Tm(κ, α), and other properties are discussed.
url http://etamaths.com/index.php/ijaa/article/view/1882
work_keys_str_mv AT rabhawibrahim univalentfunctionsformulatedbythesalageandifferenceoperator
AT maslinadarus univalentfunctionsformulatedbythesalageandifferenceoperator
_version_ 1721193542305447936

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