Coefficient functionals and radius problems associated with an evolute of a nephroid curve

Abstract

Sharp upper bounds for the Hankel, generalized Zalcman and Krushkal coefficient functionals are investigated for the class of normalized analytic functions f defined in an open unit disk with the quantity zf′ / f lying in the evolute of a nephroid curve in the right-half plane. The similar analysis is also carried out when the expression zf′/f is replaced with . Moreover, the sharp radii constants concerning the class are also computed.