On coefficients of some p-valent starlike functions

Abstract

We consider the class A p of functions f analytic in the unit disk |z| < 1 in the complex plane, of the form f (z) = z p +. .. such that Rez f (p) (z)/ f (p−1) (z) > 0 in the unit disc. The object of the present paper is to derive some bounds for coefficients in this class and relation with the functions satisfying condition Re f (k) (z)/ f (p−k) (z) > 0 in the unit disc.