On a family of bi-univalent functions related to the Fibonacci numbers

In this study, we construct a new family of holomorphic biunivalent functions in the open unit disc by the help of q-analogue of Noor integral operator, principle of subordination and Fibonacci polynomials. Also we obtain coefficient bounds and Fekete Szegö inequality for functions belonging this fa...

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Bibliographic Details
Published in:	Mathematica Moravica Vol. 26; no. 1; pp. 103 - 112
Main Author:	Akgül, Arzu
Format:	Journal Article
Language:	English
Published:	University of Kragujevac, Faculty of Technical Sciences Čačak 2022
Subjects:	bi-univalent functions fibonacci polynomials q-analogue of noor integral operator
Online Access:	Get full text
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Summary:	In this study, we construct a new family of holomorphic biunivalent functions in the open unit disc by the help of q-analogue of Noor integral operator, principle of subordination and Fibonacci polynomials. Also we obtain coefficient bounds and Fekete Szegö inequality for functions belonging this family. We have illustrated relevant families and consequences.
ISSN:	1450-5932 2560-5542
DOI:	10.5937/MatMor2201103A