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- Title
Initial Coefficient Bounds for Bi-Univalent Functions Related to Gregory Coefficients.
- Authors
Murugusundaramoorthy, Gangadharan; Vijaya, Kaliappan; Bulboacă, Teodor
- Abstract
In this article we introduce three new subclasses of the class of bi-univalent functions Σ , namely HG Σ , GM Σ (μ) and G Σ (λ) , by using the subordinations with the functions whose coefficients are Gregory numbers. First, we evidence that these classes are not empty, i.e., they contain other functions besides the identity one. For functions in each of these three bi-univalent function classes, we investigate the estimates a 2 and a 3 of the Taylor–Maclaurin coefficients and Fekete–Szegő functional problems. The main results are followed by some particular cases, and the novelty of the characterizations and the proofs may lead to further studies of such types of similarly defined subclasses of analytic bi-univalent functions.
- Subjects
UNIVALENT functions; ANALYTIC functions; STAR-like functions; CONVEX functions
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 13, p2857
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11132857