Faber Polynomial Coefficient Estimates for Bi-Univalent Functions Defined by Using Differential Subordination and a Certain Fractional Derivative Operator

Hari M. Srivastava, Ahmad Motamednezhad and Ebrahim Analouei Adegani
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Hari M. Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Ahmad Motamednezhad: Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 36155-316, Shahrood 36155-316, Iran
Ebrahim Analouei Adegani: Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 36155-316, Shahrood 36155-316, Iran

Mathematics, 2020, vol. 8, issue 2, 1-12

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 | 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.

Keywords: analytic functions; univalent functions; bi-univalent functions; coefficient estimates; Taylor-Maclaurin coefficients; Faber polynomial expansion; differential subordination; Tremblay fractional derivative operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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