Analytic Properties of Holomorphic Functions

  • Carlos A. Berenstein
  • Roger Gay
Part of the Graduate Texts in Mathematics book series (GTM, volume 125)

Abstract

At the end of Chapter 1 we introduced the holomorphic functions, that is, those functions fC1(Ω) that satisfy the Cauchy-Riemann differential equation \(\frac{{\partial f}}{{\partial \bar z}} = 0\) throughout an open set Ω ⊆ ℂ. As an immediate consequence of the topological tools developed in that chapter we found that the holomorphic functions enjoyed the following remarkable property (Cauchy’s theorem 1.1 1.4).

Keywords

Assure Convolution Zole 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • Carlos A. Berenstein
    • 1
  • Roger Gay
    • 2
  1. 1.Department of MathematicsUniversity of MarylandCollege ParkUSA
  2. 2.Department of MathematicsUniversity of BordeauxTalenceFrance

Personalised recommendations