The Coefficient Estimates Of Some Subclasses Of Analytic Functions

In this article, two kinds of analytic subclasses Ks(h),η(p, q,γ,A,B) are studied which are analytic in the unit disk U={z:|z|<1}, and coefficients estimates of the second and the third items which belongs to two kinds of bi-univalent analytic subclasses M∑(α,λ),B∑(α,λ) are made.The article is divided into three parts. Part one is chapter one including introduction and preliminary knowledge, it related the background of research, mainly introduced some basic definition the sign of function. Part two is chapter two to section five, which discuss coefficient estimates of three kinds of analytic subclasses Ks(h) and η(p, q,γ, A,B),and the second, the third coefficient estimates of two kinds of bi-univalent analytic subclasses M∑{α,λ),B∑(α,λ). Part three is chapter six which is the conclusion of this article; it mainly summarized the result and sense of this research, and pointed out something needed to work out.