Open Riemann Surface with Null Boundary

1 October 1951

journal article
research article
Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal

Vol. 3, 73-79
https://doi.org/10.1017/s002776300001223x

Abstract

Recently the writer has obtained some results concerning meromorphic or algebroidal functions with the set of essential singularities of capacity zero, with an aid of a theorem of Evans. In the present paper, suggested from recent interesting papers of Sario and Pfluger, the writer will extend his results to single-valued analytic functions defined on open abstract Riemann surfaces with null boundary in the sense of Nevanlinna, using a lemma instead of Evans’ theorem.

Keywords

This publication has 5 references indexed in Scilit:

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