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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Ben Wongsaijai, Nattakorn Sukantamala
التنسيق: دورية
منشور في: 2018
الموضوعات:
الوصول للمادة أونلاين: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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الوصف
الملخص:© 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.