Some properties for a certain class concerned with univalent functions

Let AnAn be the class of functions f(z)f(z) which are analytic with f(0)=0f(0)=0 and f(j)(0)=0(j=1,2,3,…,n) in the open unit disk UU. For such functions f(z)f(z), the subclass Tn(μ)Tn(μ) of AnAn is introduced. The object of the present paper is to discuss some properties for f(z)f(z) in the class Tn(μ)Tn(μ) concerned with some sufficient conditions for f(z)f(z) to be univalent in UU.