Coefficient Related Studies for New Classes of Bi-Univalent Functions

Ágnes Orsolya Páll-Szabó and Georgia Irina Oros
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Ágnes Orsolya Páll-Szabó: Faculty of Mathematics and Computer Science, Babes-Bolyai University, 400084 Cluj Napoca, Romania
Georgia Irina Oros: Department of Mathematics and Computer Sciences, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania

Mathematics, 2020, vol. 8, issue 7, 1-13

Abstract: Using the recently introduced S?l?gean integro-differential operator, three new classes of bi-univalent functions are introduced in this paper. In the study of bi-univalent functions, estimates on the first two Taylor–Maclaurin coefficients are usually given. We go further in the present paper and bounds of the first three coefficients a 2 , a 3 and a 4 of the functions in the newly defined classes are given. Obtaining Fekete–Szeg? inequalities for different classes of functions is a topic of interest at this time as it will be shown later by citing recent papers. So, continuing the study on the coefficients of those classes, the well-known Fekete–Szeg? functional is obtained for each of the three classes.

Keywords: bi-univalent functions; S?l?gean integral and differential operator; coefficient bounds; Fekete–Szeg? problem (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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