Generalization of partial sums of certain analytic and univalent

Abstract. In this paper, we study the ratio of a function of the form f(z) = z + ∞X k=2 akz k to its sequence of partial sums of the form fn(z) = z + nP k=2 akz k. Also, we will determine sharp lower bounds for Re {f(z)/fn(z)}, Re {fn(z)/f(z)}