ON PROPERTIES OF THE PROPER SUBCLASS OF A UNIVALENT FUNCTION

This paper discusses the function class Hβ(a) of the from f(z)=z+∑k=(n+1)^+∞, which satisfies the conditon Re[f'(Z)+βzf″(z)]＞a, (0≤a＜1) in |z|＜1, with its inclusion relation ,neighborhood properties and the deviation theorem ,convolution properties in the case when f(z) has negative coefficients.

This paper discusses the function class H_β(a) of the from,which satisfies the conditon Re with its inclusion relation, neighborhood properties and the deviation theorem, convolution properties in the case when f(z) has negative coefficients.