Work

A novel subclass of analytic functions specified by a family of fractional derivatives in the complex domain

Year: 2017

Type: article

Abstract: In this paper, by making use of a certain family of fractional derivative operators in the complex domain, we introduce and investigate a new subclass P?,?(k,?,?) of analytic and univalent functions in the open unit disk U. In particular, for functions in the class P?,?(k,?,?), we derive sufficient coefficient inequalities and coefficient estimates, distortion theorems involving the above-mentioned fractional derivative operators, and the radii of starlikeness and convexity. In addition, some applications of functions in the class P?,?(k,?,?) are also pointed out.

Source: Filomat

DOI: 10.2298/fil1709837e

Authors: Zainab Esa, H.M. Srivastava, Adem Kılıçman, Rabha Ibrahim

Institutions: Universiti Putra Malaysia, China Medical University, University of Victoria, University of Malaya

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W2224630616

FWCI: 2.352

Cites: 5

Cited by: 17

Related to: 20