Abstract

In 1946 Friedman [2] found all schlicht functions, with certain restrictions, that have rational integral coefficients. It is the purpose of this article to find all schlicht functions similarly restricted, whose nth powers, n a positive integer, have coefficients belonging to an integral domain I, of characteristic zero, and that has no integer except zero of absolute value less than 1. 1. Notations and definitions. A function is said to be schlicht in a domain D if for any two points z1 and Z2, belonging to D, we have f(Z1) =f(Z2) only if z1 = z2. We shall seek all functions

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