COEFFICIENT ESTIMATES ALONG WITH SECOND, THIRD AND FOURTH HANKEL DETERMINANT INEQUALITY FOR THE CLASS OF STARLIKE FUNCTIONS ASSOCIATED WITH THE NEPHRIOD DOMAIN

Abstract

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