Date of Award

12-12-1962

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Mathematics, Statistics and Computer Science

First Advisor

John B. Kelley

Abstract

A function f(z) is said to be univalent in a region G if and only if f(z1) = f(s2 ) in G implies z1 = z2 whenever z1 and z2 are any two points in G. Another way of stating this is that a univalent function in G is characterized by the fact that it takes no value in G more than once, and that consequently, it maps G onto a region which is not self-overlapping and contains no branch points (schlicht regions).

Comments

An Essay Submitted in Partial Fulfillment of the Requirements for the degree of Master of Science in Mathematics, Milwaukee, Wisconsin.

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