Picard’s Theorem

Raghavan Narasimhan and Yves Nievergelt
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Raghavan Narasimhan: University of Chicago, Department of Mathematics
Yves Nievergelt: Eastern Washington University, Department of Mathematics

Chapter Chapter 4 in Complex Analysis in One Variable, 2001, pp 87-96 from Springer

Abstract: Abstract In this chapter, we shall prove the so-called “big” theorem of Picard which asserts that a holomorphic function with an (isolated) essential singularity assumes every value with at most one exception in any neighborhood of that singularity.

Keywords: Essential Singularity; Compact Complex Manifold; Nevanlinna Theory; Schwarz Lemma; Picard Theorem (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-1-4612-0175-5_4

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