New Applications of A Generalization of Tremblay Fractional Differential Operator for Defining Subclasses of Analytic
DOI:
https://doi.org/10.31642/JoKMC/2018/120104Keywords:
Analytic and univalent function, generalization of Tremblay fractional differential operator, open unit disk.Abstract
In this paper, we study basic geometric properties of analytic and univalent functions in the open unit disk. A new family of analytic and univalent functions is defined by using a generalization of Tremblay fractional differential operator associated with the convolution product of a multiplier transformation and a Ruscheweyh derivative, especially. Coefficient-related studies and extreme points, distortion properties for the functions in class are given and properties of starlikeness and the convexity of this class are also presented.
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