Cauchy’s Theorem

  • Daniel Alpay


In this chapter we need the simplest version of Cauchy’s theorem, and not the homological or homotopic versions. Furthermore, in the computations of Section 5.1, the weaker form of Cauchy’s theorem proved using Green’s theorem is enough.


Entire Function Hardy Space Analytic Logarithm Power Series Expansion Closed Contour 
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Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  • Daniel Alpay
    • 1
    • 2
  1. 1.Department of MathematicsBen-Gurion University of the NegevBeer ShevaIsrael
  2. 2.Department of MathematicsChapman UniversityOrangeUSA

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