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Keywords = Tremblay fractional derivative operator

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12 pages, 264 KiB  
Article
Faber Polynomial Coefficient Estimates for Bi-Univalent Functions Defined by Using Differential Subordination and a Certain Fractional Derivative Operator
by Hari M. Srivastava, Ahmad Motamednezhad and Ebrahim Analouei Adegani
Mathematics 2020, 8(2), 172; https://doi.org/10.3390/math8020172 - 1 Feb 2020
Cited by 64 | Viewed by 3316
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 [...] Read more.
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 | a n | 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. Full article
(This article belongs to the Special Issue Complex Analysis and Its Applications)
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