On a subclass of bi-univalent functions related to shell-like curves connected with Fibonacci number

Jenifer Arulmani 1 *

doi:10.26637/MJM0803/0012

On a subclass of bi-univalent functions related to shell-like curves connected with Fibonacci number

Authors :

Jenifer Arulmani ^{1 *}

Author Address :

¹ Department of Mathematics, Presidency College(Autonomous), Chennai-600005,Tamil Nadu, India.

*Corresponding author.

Abstract :

In this paper we defined a new subclass of bi-univalent functions related to shell-like curves connected with Fibonacci number using the Frasin differential operator. We find some coefficient bounds and solve the linear functional $|a_3-\mu a_2^2|$. Also we obtained various results proved by several authors as particular cases.

Keywords :

Bi-Univalent, Shell-like, Fibonacci Number, Differential operator.

DOI :

10.26637/MJM0803/0012

Article Info :

Received : February 12, 2020; Accepted : May 29, 2020.