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

Ben Wongsaijai and Nattakorn Sukantamala

Abstract and Applied Analysis, 2016, vol. 2016, 1-8

Abstract:

By making use of the concept of -calculus, various types of generalized starlike functions of order were introduced and studied from different viewpoints. In this paper, we investigate the relation between various former types of -starlike functions of order . We also introduce and study a new subclass of -starlike functions of order . Moreover, we give some properties of those -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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:6180140

DOI: 10.1155/2016/6180140

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