Classes of uniformly convex and uniformly starlike functions as dual sets

[摘要] In this paper the classes of uniformly convex and uniformly starlike functions are presented as dual sets for certain function families (in the sense of convolution theory). The results are used to find some sharp sufficient conditions for functions, regular in the unit disk to belong to the above classes. (C) 1997 Academic Press.

[发布日期] 1997-12-01