Sufficient conditions of starlikeness and convexity for functions of complex order

Let A be the class of normalised and analytic functions defined in the unit disc {:||1}.Uzz In this paper we study the expression 2()1,,()()zfzzzUbfzbfz for some (0) and (\{0}bb as a criteria for starlikeness and convexity at analytic functions of complex order....

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Bibliographic Details
Main Authors: Saibah Siregar (Author), Mohd Nazran Mohammed Pauzi (Author), Maslina Darus (Author)
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia, 2020.
Online Access:Get fulltext
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Summary:Let A be the class of normalised and analytic functions defined in the unit disc {:||1}.Uzz In this paper we study the expression 2()1,,()()zfzzzUbfzbfz for some (0) and (\{0}bb as a criteria for starlikeness and convexity at analytic functions of complex order.