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Coefficient Related Studies for New Classes of Bi-Univalent Functions

Author

Listed:
  • Ágnes Orsolya Páll-Szabó

    (Faculty of Mathematics and Computer Science, Babes-Bolyai University, 400084 Cluj Napoca, Romania
    These authors contributed equally to this work.)

  • Georgia Irina Oros

    (Department of Mathematics and Computer Sciences, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania
    These authors contributed equally to this work.)

Abstract

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.

Suggested Citation

  • Ágnes Orsolya Páll-Szabó & Georgia Irina Oros, 2020. "Coefficient Related Studies for New Classes of Bi-Univalent Functions," Mathematics, MDPI, vol. 8(7), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1110-:d:380858
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    Citations

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    Cited by:

    1. Jie Zhai & Rekha Srivastava & Jin-Lin Liu, 2022. "Faber Polynomial Coefficient Estimates of Bi-Close-to-Convex Functions Associated with Generalized Hypergeometric Functions," Mathematics, MDPI, vol. 10(17), pages 1-11, August.
    2. Abbas Kareem Wanas & Luminiţa-Ioana Cotîrlă, 2022. "Applications of ( M , N )-Lucas Polynomials on a Certain Family of Bi-Univalent Functions," Mathematics, MDPI, vol. 10(4), pages 1-11, February.

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