Faber Polynomial Coefficient Bounds for m-Fold Symmetric Analytic and Bi-univalent Functions Involving q-Calculus. (26th October 2021)

• Record Type: Journal Article
• Authors: Jia, Zeya; Khan, Shahid; Khan, Nazar; Khan, Bilal; Asif, Muhammad
• Other Names: Avery Richard I. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-10-26
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/5232247
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In our present investigation, by applying q -calculus operator theory, we define some new subclasses of m -fold symmetric analytic and bi-univalent functions in the open unit disk U = z ∈ ℂ : z < 1 and use the Faber polynomial expansion to find upper bounds of a m k + 1 and initial coefficient bounds for a m + 1 and a 2 m + 1 as well as Fekete-Szego inequalities for the functions belonging to newly defined subclasses. Also, we highlight some new and known corollaries of our main results.