Coefficient Estimates and the Fekete–Szegö Problem for New Classes of m -Fold Symmetric Bi-Univalent Functions

Georgia Irina Oros and Luminiţa-Ioana Cotîrlă
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Georgia Irina Oros: Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania
Luminiţa-Ioana Cotîrlă: Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Mathematics, 2022, vol. 10, issue 1, 1-12

Abstract: The results presented in this paper deal with the classical but still prevalent problem of introducing new classes of m-fold symmetric bi-univalent functions and studying properties related to coefficient estimates. Quantum calculus aspects are also considered in this study in order to enhance its novelty and to obtain more interesting results. We present three new classes of bi-univalent functions, generalizing certain previously studied classes. The relation between the known results and the new ones presented here is highlighted. Estimates on the Taylor–Maclaurin coefficients | a m + 1 | and | a 2 m + 1 | are obtained and, furthermore, the much investigated aspect of Fekete–Szegő functional is also considered for each of the new classes.

Keywords: m -fold symmetric; bi-univalent functions; analytic functions; Fekete–Szegö functional; coefficient bounds; coefficient estimates (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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