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Abstract

In the preceding chapters we have discussed regular harmonic and analytic functions. In connection with extremal and mapping problems we have lightly touched on functions with singularities of the form (z — ζ) – n. We have also encountered the singularity — log | z — ζ | which arose in the definition of the Green’s function. It is to this logarithmic singularity that we now direct our attention in more detailed study.

Keywords

Riemann Surface Logarithmic Singularity Hyperbolic Surface Ideal Boundary Capacity Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1970

Authors and Affiliations

  • L. Sario
    • 1
  • M. Nakai
    • 2
  1. 1.Unversity of CaliforniaCaliforniaUSA
  2. 2.Nagoya UnversityGermany

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