New Applications of A Generalization of Tremblay Fractional Differential Operator for Defining Subclasses of Analytic
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.
Fields of Study & Subjects
Analytic and geometric function theory
Holomorphic and Operator Theory
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Journal of Kufa for Mathematics and Computer
- Publisher
- University of Kufa
- Volume
- 12
- Issue
- 1
- Pages
- 17–24
- Publication date
- 5 January 2026