A proof of the Great Picard Theorem



Bulletin of the Belgian Mathematical Society - Simon Stevin

A proof of the Great Picard Theorem

Daniel Girela

Source: Bull. Belg. Math. Soc. Simon Stevin Volume 11, Number 2 (2004), 271-280.

Abstract

In this paper we present a simple and self contained proof of the great Picard Theorem based on certain Harnack-type inequalities due to J. Lewis.

Primary Subjects: 30D20, 30D45
Keywords: Picard's theorems; harmonic functions; Harnack's inequality; Montel theorem

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bbms/1086969317
Mathematical Reviews number (MathSciNet): MR2080427
Zentralblatt MATH identifier: 02157926


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Bulletin of the Belgian Mathematical Society - Simon Stevin

Bulletin of the Belgian Mathematical Society - Simon Stevin