Subclasses of analytic functions defined by new generalised derivative operator

A new generalised derivative operator 12,,,nmDbλλ is introduced. This operator generalised some well-known operators studied earlier. New subclasses of analytic functions in the open unit disc which are defined using generalised derivative operator are introduced. Inclusion theorems are investigated...

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Main Authors: El-Yagubi, Entisar, Maslina Darus
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2013
Online Access:http://journalarticle.ukm.my/6485/1/jqma-9-1-paper5.pdf
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author El-Yagubi, Entisar
Maslina Darus,
author_facet El-Yagubi, Entisar
Maslina Darus,
author_sort El-Yagubi, Entisar
collection UKM
description A new generalised derivative operator 12,,,nmDbλλ is introduced. This operator generalised some well-known operators studied earlier. New subclasses of analytic functions in the open unit disc which are defined using generalised derivative operator are introduced. Inclusion theorems are investigated. Furthermore, generalised Bernardi-Libera-Livington integral operator is shown to be preserved for these classes.
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spelling ukm.eprints-64852016-12-14T06:41:19Z http://journalarticle.ukm.my/6485/ Subclasses of analytic functions defined by new generalised derivative operator El-Yagubi, Entisar Maslina Darus, A new generalised derivative operator 12,,,nmDbλλ is introduced. This operator generalised some well-known operators studied earlier. New subclasses of analytic functions in the open unit disc which are defined using generalised derivative operator are introduced. Inclusion theorems are investigated. Furthermore, generalised Bernardi-Libera-Livington integral operator is shown to be preserved for these classes. Penerbit Universiti Kebangsaan Malaysia 2013-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/6485/1/jqma-9-1-paper5.pdf El-Yagubi, Entisar and Maslina Darus, (2013) Subclasses of analytic functions defined by new generalised derivative operator. Journal of Quality Measurement and Analysis, 9 (1). pp. 47-56. ISSN 1823-5670 http://www.ukm.my/jqma/
spellingShingle El-Yagubi, Entisar
Maslina Darus,
Subclasses of analytic functions defined by new generalised derivative operator
title Subclasses of analytic functions defined by new generalised derivative operator
title_full Subclasses of analytic functions defined by new generalised derivative operator
title_fullStr Subclasses of analytic functions defined by new generalised derivative operator
title_full_unstemmed Subclasses of analytic functions defined by new generalised derivative operator
title_short Subclasses of analytic functions defined by new generalised derivative operator
title_sort subclasses of analytic functions defined by new generalised derivative operator
url http://journalarticle.ukm.my/6485/1/jqma-9-1-paper5.pdf
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AT maslinadarus subclassesofanalyticfunctionsdefinedbynewgeneralisedderivativeoperator