On a family of bi-univalent functions related to the Fibonacci numbers
Mathematica Moravica, Tome 26 (2022) no. 1.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this study, we construct a new family of holomorphic bi-univalent 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.
Mots-clés : $q-$analogue of Noor integral operator, Fibonacci polynomials, Bi-univalent functions. 
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     author = {Arzu Akg\"ul},
     title = {On a family of bi-univalent functions related to the {Fibonacci} numbers},
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Arzu Akgül. On a family of bi-univalent functions related to the Fibonacci numbers. Mathematica Moravica, Tome 26 (2022) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2022_26_1_a7/