Maclaurin Coefficient Estimates of Bi-Univalent Functions Connected with the q-Derivative

Sheza M. El-Deeb, Teodor Bulboacă and Bassant M. El-Matary
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Sheza M. El-Deeb: Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
Teodor Bulboacă: Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
Bassant M. El-Matary: Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

Mathematics, 2020, vol. 8, issue 3, 1-14

Abstract: In this paper we introduce a new subclass of the bi-univalent functions defined in the open unit disc and connected with a q -analogue derivative. We find estimates for the first two Taylor-Maclaurin coefficients a 2 and a 3 for functions in this subclass, and we obtain an estimation for the Fekete-Szeg? problem for this function class.

Keywords: bi-univalent functions; Hadamard (convolution) product; coefficients bounds; q -derivative operator; differential subordination (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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