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Properties of functions which uniformize certain classes of simply connected Riemann surfaces
Three classes of simply connected Riemann surfaces are considered in the following study. They are designated as Class III, Class IV, and Class V in keeping with the notation of Classes I, II, and III already considered ...
Collective singularities of families of analytic functions
In his thesis Johnson gives the following definition of the radius of regularity of a family of holomorphic functions: Let F denote a family of functions f(z) regular at Z0. R is called the radius of regularity of F at z0 ...
The behavior of functions harmonic and positive in an angular domain
The principal question to be investigated is the character of a function harmonic and positive in a simply connected domain G and zero on the boundary of G except possibly at a finite number of points. It is well known ...