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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Bibliographic Details
Main Authors: Wongsaijai B., Sukantamala N.
Format: Journal
Published: 2017
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84991386854&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/42357
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Institution: Chiang Mai University
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Summary:© 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.