Certain Properties of Some Families of Generalized Starlike Functions with respect to q -Calculus

© 2016 Ben Wongsaijai and Nattakorn Sukantamala. By making use of the concept of q -calculus, various types of generalized starlike functions of order α were introduced and studied from different viewpoints. In this paper, we investigate the relation between various former types of q -starlike funct...

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Main Authors:	Ben Wongsaijai, Nattakorn Sukantamala
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84991386854&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55967
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-55967
record_format	dspace
spelling	th-cmuir.6653943832-559672018-09-05T03:06:40Z Certain Properties of Some Families of Generalized Starlike Functions with respect to q -Calculus Ben Wongsaijai Nattakorn Sukantamala Mathematics © 2016 Ben Wongsaijai and Nattakorn Sukantamala. By making use of the concept of q -calculus, various types of generalized starlike functions of order α were introduced and studied from different viewpoints. In this paper, we investigate the relation between various former types of q -starlike functions of order α. We also introduce and study a new subclass of q -starlike functions of order α. Moreover, we give some properties of those q -starlike functions with negative coefficient including the radius of univalency and starlikeness. Some illustrative examples are provided to verify the theoretical results in case of negative coefficient functions class. 2018-09-05T03:06:40Z 2018-09-05T03:06:40Z 2016-01-01 Journal 16870409 10853375 2-s2.0-84991386854 10.1155/2016/6180140 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84991386854&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55967
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Ben Wongsaijai Nattakorn Sukantamala Certain Properties of Some Families of Generalized Starlike Functions with respect to q -Calculus
description	© 2016 Ben Wongsaijai and Nattakorn Sukantamala. By making use of the concept of q -calculus, various types of generalized starlike functions of order α were introduced and studied from different viewpoints. In this paper, we investigate the relation between various former types of q -starlike functions of order α. We also introduce and study a new subclass of q -starlike functions of order α. Moreover, we give some properties of those q -starlike functions with negative coefficient including the radius of univalency and starlikeness. Some illustrative examples are provided to verify the theoretical results in case of negative coefficient functions class.
format	Journal
author	Ben Wongsaijai Nattakorn Sukantamala
author_facet	Ben Wongsaijai Nattakorn Sukantamala
author_sort	Ben Wongsaijai
title	Certain Properties of Some Families of Generalized Starlike Functions with respect to q -Calculus
title_short	Certain Properties of Some Families of Generalized Starlike Functions with respect to q -Calculus
title_full	Certain Properties of Some Families of Generalized Starlike Functions with respect to q -Calculus
title_fullStr	Certain Properties of Some Families of Generalized Starlike Functions with respect to q -Calculus
title_full_unstemmed	Certain Properties of Some Families of Generalized Starlike Functions with respect to q -Calculus
title_sort	certain properties of some families of generalized starlike functions with respect to q -calculus
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84991386854&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55967
_version_	1681424604081422336

Certain Properties of Some Families of Generalized Starlike Functions with respect to q -Calculus

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