New Subclasses of Bi-Univalent Functions based on the Fibonacci Numbers-Reference-Cited by-同舟云学术

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

Published:2021-12-01 Issue:2 Volume:29 Page:83-97
ISSN:1584-3289
Container-title:General Mathematics
language:en
Short-container-title:

Author:

Rossdy Munirah¹,Omar Rashidah²,Soh Shaharuddin Cik³

Affiliation:

1. Universiti Teknologi MARA , Faculty of Computer and Mathematical Sciences , Centre of Mathematical Studies , 40450, Shah Alam, Selangor , Malaysia ; Universiti Teknologi MARA Sabah Branch , Kota Kinabalu Campus , Faculty of Computer and Mathematical Sciences , 88997, Kota Kinabalu, Sabah , Malaysia

2. Universiti Teknologi MARA Sabah Branch, Kota Kinabalu Campus , Faculty of Computer and Mathematical Sciences , 88997, Kota Kinabalu, Sabah, Malaysia

3. Faculty of Computer and Mathematical Sciences , Centre of Mathematical Studies , 40450, Shah Alam, Selangor , Malaysia

Abstract

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

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/gm-2021-0016

Reference36 articles.

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