On omitted tuples for univalent functions

摘要

In the family S of normalized, univalent functions, an omitted point in F⊂S is a complex number w0, such that there is at least one function f∈F, satisfyingf(z)≠w0forall|z|<1.Let a set of m distinct complex numbers w1,w2,…,wm all ≠0, be given such that 0⩽argw1