Faber Polynomial Coefficient Estimates for Bi-Univalent Functions Defined by Using Differential Subordination and a Certain Fractional Derivative Operator
Date
2020
Authors
Srivastava, H.M.
Motamednezhad, Ahmad
Adegani, Ebrahim Analouei
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
Abstract
In this article, we introduce a general family of analytic and bi-univalent functions in the
open unit disk, which is defined by applying the principle of differential subordination between
analytic functions and the Tremblay fractional derivative operator. The upper bounds for the
general coefficients |an| of functions in this subclass are found by using the Faber polynomial
expansion.
We have thereby generalized and improved some of the previously published results.
Description
Keywords
analytic functions, univalent functions, bi-univalent functions, coefficient estimates, Taylor-Maclaurin coefficients, Faber polynomial expansion, differential subordination, Tremblay fractional derivative operator
Citation
Srivastava, H.M., Motamednezhad, A. & Adegani, E.A. (2020). Faber Polynomial Coefficient Estimates for Bi-Univalent Functions Defined by Using Differential Subordination and a Certain Fractional Derivative Operator. Mathematics, 8(2), 172. https://doi.org/10.3390/math8020172