The study of coefficient estimates and Fekete–Szegö inequalities for the new classes of m-fold symmetric bi-univalent functions defined using an operator

Autor: Daniel Breaz, Luminiţa-Ioana Cotîrlă
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-13 (2023)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-023-02920-6
Popis: Abstract The objective of this paper is to introduce new classes of m-fold symmetric bi-univalent functions. We discuss estimates on the Taylor–Maclaurin coefficients | a m + 1 | $|a_{m+1}|$ and | a 2 m + 1 | $|a_{2m+1}|$ , and the Fekete–Szegő problem is also considered for the new classes of functions introduced. We denote these classes by M F − S Σ , m p , q ( h ) $MF-S_{\Sigma ,m}^{p,q}(h)$ , M F − S Σ , m p , q ( s ) $MF-S_{\Sigma , m}^{p,q}(s)$ , and M F − S Σ , m b , d $MF-S_{\Sigma , m}^{b,d}$ . Quantum calculus aspects are also considered in this study to enhance its novelty and to obtain more interesting results.
Databáze: Directory of Open Access Journals
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