Fekete-Szegö problem for Bi-Bazilevič functions related to Shell-like curves

Abstract

In the present investigation, we define a subclass of bi-univalent functions related to shell-like curves connected with Fibonacci numbers to find the estimates of second, third Taylor-Maclaurin coefficients and Fekete-Szegö inequalities. Further, certain special cases are also discussed.

Keywords

• univalent functions
• bi-univalent functions
• shell-like function
• bazilevič function
• fibonacci number
• fekete-szegö inequality