Some Subclasses of Univalent and Bi-Univalent Functions Related to K-Fibonacci Numbers and Modified Sigmoid Function

Authors

Amal Madhi Rashid, Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Ramadi, Iraq.Follow
Abdul Rahman S. Juma, Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Ramadi, Iraq.Follow

Abstract

This paper is interested in certain subclasses of univalent and bi-univalent functions concerning to shell- like curves connected with k-Fibonacci numbers involving modified Sigmoid activation function θ(t)=2/(1+e^(-t) ) ,t ≥0 in unit disk |z|<1 . For estimating of the initial coefficients |c_2 | , |c_3 |, Fekete-Szego ̈ inequality and the second Hankel determinant have been investigated for the functions in our classes.

Keywords

Bi-univalent function, Borel distribution, Fibonacci numbers, Modified sigmoid function, Univalent function

Article Type

Article

How to Cite this Article

Rashid, Amal Madhi and Juma, Abdul Rahman S. (2023) "Some Subclasses of Univalent and Bi-Univalent Functions Related to K-Fibonacci Numbers and Modified Sigmoid Function," Baghdad Science Journal: Vol. 20: Iss. 3, Article 5.
DOI: https://doi.org/10.21123/bsj.2022.6888