A comprehensive family of biunivalent functions defined by \(k\)-Fibonacci numbers
type: Item
instance of: scholarly article
title: A comprehensive family of biunivalent functions defined by \(k\)-Fibonacci numbers
zbMATH Open document ID: 1482.30034
DOI: 10.1155/2021/4249509
author: Ibtisam Aldawish
author: B. A. Frasin
author: S. R. Swamy
published in: Journal of Function Spaces
publication date: 2021-12-16T00:00:00Z
review text: Summary: By using \(k\)-Fibonacci numbers, we present a comprehensive family of regular and biunivalent functions of the type \(g(z)=z+\sum_{j = 2}^\infty d_j z^j\) in the open unit disc \(\mathfrak{D}\). We estimate the upper bounds on initial coefficients and also the functional of Fekete-Szegö for functions in this family. We also discuss few interesting observations and provide relevant connections of the result investigated.
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30C50
zbMATH DE Number: 7446726
zbMATH Keywords: biunivalent functions
zbMATH Keywords: coefficient estimates
zbMATH Keywords: Fekete-Szegő functional
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/4249509
OpenAlex ID: W3210933074
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description: scientific article; zbMATH DE number 7446726