Fekete–Szegö Inequality for Bi-Univalent Functions Subordinate to Horadam Polynomials. (27th January 2022)

• Record Type: Journal Article
• Authors: Shammaky, Amnah E.; Frasin, Basem Aref; Swamy, Sondekola Rudra
• Other Names: Abdo Mohammed S. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-01-27
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/9422945
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Making use of Horadam polynomials, we propose a special family of regular functions of the type g z = z + ∑ j = 2 ∞ d j z j which are bi-univalent (or bi-schlicht) in the disc z ∈ ℂ : z < 1 . We find estimates on the coefficients d 2 and d 3 and the functional of Fekete–Szegö for functions in this subfamily. Relevant connections to existing results and new observations of the main result are also presented.