Applications of Shell-like Curves Connected with Fibonacci Numbers.

We introduce a new subclass J Σ η , δ , μ (p ˜) of bi-univalent functions, defined by shell-like curves connected with Fibonacci numbers. Our main results in this paper include estimates of the Taylor–Maclaurin coefficients a 2 and a 3 for functions in this subclass, as well as solutions to Fekete–Szegö functional problems. We also show novel outcomes resulting from the specialization of the parameters used in our main results. [ABSTRACT FROM AUTHOR]