<abstract xmlns="http://www.w3.org/1999/xhtml">

In this work, by using the Al-Oboudi differential operator and the rule of subordination, we introduced the new subclasses <italic>D</italic><italic>n,ρ</italic>Σ,<italic>δ</italic>(Φ) and <italic>F</italic><italic>n,α</italic>Σ,<italic>δ</italic>(Φ) of the bi-univalent functions. Likewise, we use the Fibonacci numbers to derive the initial coefficients bounds for |<italic>a</italic>2| and |<italic>a</italic>3| of the bi-univalent function subclasses.
</abstract>

In this work, by using the Al-Oboudi differential operator and the rule of subordination, we introduced the new subclasses Dn,ρΣ,δ(Φ) and Fn,αΣ,δ(Φ) of the bi-univalent functions. Likewise, we use the Fibonacci numbers to derive the initial coefficients bounds for |a2| and |a3| of the bi-univalent function subclasses.

New Subclasses of Bi-Univalent Functions based on the Fibonacci Numbers

Faculty of Computer and Mathematical Sciences

Universiti Teknologi MARA Sabah Branch, Kota Kinabalu Campus

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"New Subclasses of Bi-Univalent Functions based on the Fibonacci Numbers"}

In this work, by using the Al-Oboudi differential operator and the rule of subordination, we introduced the new subclasses Dn,ρΣ,δ(Φ) and Fn,αΣ,δ(Φ) of the...

New Subclasses of Bi-Univalent Functions based on the Fibonacci Numbers

Publicado en línea: 30 mar 2022

Páginas: 83 - 97

Recibido: 24 oct 2021

Aceptado: 23 nov 2021

DOI: https://doi.org/10.2478/gm-2021-0016

Palabras clave
Al-Oboudi differential operator, Fibonacci numbers, subordination, bi-univalent functions

© 2021 Munirah Rossdy et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

New Subclasses of Bi-Univalent Functions based on the Fibonacci Numbers

Publicado en línea: 30 mar 2022

Páginas: 83 - 97

Recibido: 24 oct 2021

Aceptado: 23 nov 2021

DOI: https://doi.org/10.2478/gm-2021-0016

Palabras claveAl-Oboudi differential operator, Fibonacci numbers, subordination, bi-univalent functions

© 2021 Munirah Rossdy et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Palabras clave
Al-Oboudi differential operator, Fibonacci numbers, subordination, bi-univalent functions