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Open AccessArticle

Coefficient Related Studies for New Classes of Bi-Univalent Functions

1
Faculty of Mathematics and Computer Science, Babes-Bolyai University, 400084 Cluj Napoca, Romania
2
Department of Mathematics and Computer Sciences, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(7), 1110; https://doi.org/10.3390/math8071110
Received: 4 June 2020 / Revised: 4 July 2020 / Accepted: 6 July 2020 / Published: 6 July 2020
(This article belongs to the Special Issue Geometrical Theory of Analytic Functions)
Using the recently introduced Sălăgean 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–Szegő 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–Szegő functional is obtained for each of the three classes. View Full-Text
Keywords: bi-univalent functions; Sălăgean integral and differential operator; coefficient bounds; Fekete–Szegő problem bi-univalent functions; Sălăgean integral and differential operator; coefficient bounds; Fekete–Szegő problem
MDPI and ACS Style

Páll-Szabó, Á.O.; Oros, G.I. Coefficient Related Studies for New Classes of Bi-Univalent Functions. Mathematics 2020, 8, 1110. https://doi.org/10.3390/math8071110

AMA Style

Páll-Szabó ÁO, Oros GI. Coefficient Related Studies for New Classes of Bi-Univalent Functions. Mathematics. 2020; 8(7):1110. https://doi.org/10.3390/math8071110

Chicago/Turabian Style

Páll-Szabó, Ágnes O.; Oros, Georgia I. 2020. "Coefficient Related Studies for New Classes of Bi-Univalent Functions" Mathematics 8, no. 7: 1110. https://doi.org/10.3390/math8071110

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