The Coefficient Inequality For Certain Subclass Of Univalent Function

In this article, C1(α) which is an analytic and univalent class defined in the open unit disk U={z:z∈C,|z|<1} is introduced. The inequality on the second and third coefficient is investigated by related properties of starlike and convex functions.This article is composed of three parts.In the first part, some basic concepts and symbols of classes are introduced for preparation. The main theories quoted by this article are provided.In the second part, a new class C1(α) is defined.And coefficient inequality of C1(α) is investigated through the discussion of classification method.In the third part, I give the summaries of this paper and expectations in the future.