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http://dx.doi.org/10.5666/KMJ.2015.55.4.953

On a Class of Spirallike Functions associated with a Fractional Calculus Operator  

SELVAKUMARAN, KUPPATHAI APPASAMY (Department of Mathematics, R. M. K College of Engineering and Technology)
BALACHANDAR, GEETHA (Department of Mathematics, R. M. K College of Engineering and Technology)
RAJAGURU, PUGAZHENTHI (Department of Mathematics, Arignar Anna Govt. Arts College)
Publication Information
Kyungpook Mathematical Journal / v.55, no.4, 2015 , pp. 953-967 More about this Journal
Abstract
In this article, by making use of a linear multiplier fractional differential operator $D^{{\delta},m}_{\lambda}$, we introduce a new subclass of spiral-like functions. The main object is to provide some subordination results for functions in this class. We also find sufficient conditions for a function to be in the class and derive Fekete-$Szeg{\ddot{o}}$ inequalities.
Keywords
Analytic functions; ${\alpha}$-spirallike functions of order ${\beta}$; Fractional differential operator; Fekete-$Szeg{\ddot{o}}$ problem; Subordination;
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