Generalised class of starlike functions of Koebe type with complex order

In this paper, we investigate some results on subordination, superordination, best dominant result and the sandwich theorem of the new class Hb    , ,  of analytic functions with Koebe type. Further, by making use of Jack’s Lemma as well as several differential and other inequalities, suff...

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Main Authors: Mohd Nazran Mohammed Pauzi, Maslina Darus
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2017
Online Access:http://journalarticle.ukm.my/11938/
http://journalarticle.ukm.my/11938/1/jqma-13-1-paper1.pdf
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author Mohd Nazran Mohammed Pauzi,
Maslina Darus,
author_facet Mohd Nazran Mohammed Pauzi,
Maslina Darus,
author_sort Mohd Nazran Mohammed Pauzi,
building UKM Institutional Repository
collection Online Access
description In this paper, we investigate some results on subordination, superordination, best dominant result and the sandwich theorem of the new class Hb    , ,  of analytic functions with Koebe type. Further, by making use of Jack’s Lemma as well as several differential and other inequalities, sufficient condition for starlikeness of the class Hb    , ,  of n-fold symmetric analytic functions of Koebe type is derived. Relevant connections of the results presented here with those given in earlier works are also indicated.
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spelling oai:generic.eprints.org:119382018-07-22T02:44:57Z http://journalarticle.ukm.my/11938/ Generalised class of starlike functions of Koebe type with complex order Mohd Nazran Mohammed Pauzi, Maslina Darus, In this paper, we investigate some results on subordination, superordination, best dominant result and the sandwich theorem of the new class Hb    , ,  of analytic functions with Koebe type. Further, by making use of Jack’s Lemma as well as several differential and other inequalities, sufficient condition for starlikeness of the class Hb    , ,  of n-fold symmetric analytic functions of Koebe type is derived. Relevant connections of the results presented here with those given in earlier works are also indicated. Penerbit Universiti Kebangsaan Malaysia 2017-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/11938/1/jqma-13-1-paper1.pdf Mohd Nazran Mohammed Pauzi, and Maslina Darus, (2017) Generalised class of starlike functions of Koebe type with complex order. Journal of Quality Measurement and Analysis, 13 (1). pp. 1-13. ISSN 1823-5670 http://www.ukm.my/jqma/jqma13_1.html
spellingShingle Mohd Nazran Mohammed Pauzi,
Maslina Darus,
Generalised class of starlike functions of Koebe type with complex order
title Generalised class of starlike functions of Koebe type with complex order
title_full Generalised class of starlike functions of Koebe type with complex order
title_fullStr Generalised class of starlike functions of Koebe type with complex order
title_full_unstemmed Generalised class of starlike functions of Koebe type with complex order
title_short Generalised class of starlike functions of Koebe type with complex order
title_sort generalised class of starlike functions of koebe type with complex order
url http://journalarticle.ukm.my/11938/
http://journalarticle.ukm.my/11938/
http://journalarticle.ukm.my/11938/1/jqma-13-1-paper1.pdf