On $\lambda -$ Pseudo bi-starlike functions related with Fibonacci numbers

In this paper we define a new subclass $\lambda$-bi-pseudo-starlike functions of $\mathrm{\Sigma }$ related to shell-like curves connected with Fibonacci numbers and determine the initial Taylor-Maclaurin coefficients $\mathrm{\mid }{a}_2\mathrm{\mid }$ and $\mathrm{\mid }{a}_3\mathrm{\mid }$ for $f\in {\mathcal{P}\mathcal{S}\mathcal{L}}_{\mathrm{\Sigma }}^{\lambda }(\tilde{p}(z))\mathrm{.}$ Further we determine the Fekete-Szegö result for the function class ${\mathcal{P}\mathcal{S}\mathcal{L}}_{\mathrm{\Sigma }}^{\lambda }(\tilde{p}(z))$ and for special cases, corollaries are stated which some of them are new and have not been studied so far.