Coefficient Estimates Along With Second, Third and Fourth Hankel Determinant Inequality for the Class of Starlike Functions Associated With the Nephriod Domain

In this paper we introduce a new subclass of starlike functions which is subordinate to a Nephriod function , our paper establishes some coefficient bounds for this class, along with a derivation of a sharp bound for the well-known Fekete - Szegö functional, which plays a crucial role in the geometric analysis of analytic functions, Further we have derived a sharp bound for the second Hankel determinant, also we worked on Third Hankel determinant of this new subclass