Series

Paul M. Gauthier
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Paul M. Gauthier: Université de Montréal, Départment de Mathématiques et de Statistique

Chapter Chapter 5 in Lectures on Several Complex Variables, 2014, pp 19-24 from Springer

Abstract: Abstract The basis of this chapter is Cauchy’s theorem on multiple series. The Cauchy integral formula leads to the Taylor series representation for holomorphic functions, which in turn leads to the equivalence of the notions of analytic and holomorphic functions of several complex variables.

Keywords: Multiple Power Series; Holomorphic Function; Taylor Series Representation; Polydisc; Double Series (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-11511-5_5

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DOI: 10.1007/978-3-319-11511-5_5

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