Applications of Runge’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 6 in Complex Analysis in One Variable, 2001, pp 115-137 from Springer

Abstract: Abstract This chapter is devoted to various theorems which can be proved using Runge’s theorem: the existence of functions with prescribed zeros or poles, a “cohomological” version of Cauchy’s theorem, and related theorems. The last section concerns itself with Η(Ω) as a ring (or ℂ-algebra).

Keywords: Meromorphic Function; Common Zero; Stein Manifold; Discrete Subset; Cohomology Form (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-1-4612-0175-5_6

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