Certain classes of bi-univalent functions related to Shell-like curves connected with Fibonacci numbers

In 2010, Srivastava et al. [38] revived the study of coefficient problems for bi-univalent functions. Due to the pioneering work of Srivastava et al. [38], there has been elicit curiosity to study the coefficient problems for various subclasses of bi-univalent functions. Motivated predominantly by Srivastava et al. [38], in this work, we consider certain classes of bi-univalent functions related with shell-like curves connected with Fibonacci numbers to obtain the estimates of second and third Taylor-Maclaurin coefficients and Fekete - Szegö inequalities. Further, special cases are also indicated. Some observations of the results presented here are also discussed.