Analytic continuation of certain domain functions in quadrature domains and domains bounded by ellipses

29 May 1993

journal article
research article
Published by Taylor & Francis in Complex Variables and Elliptic Equations

Vol. 22 (1-2) , 69-83
https://doi.org/10.1080/17476939308814647

Abstract

We use ideas from a previous paper by the author to study the analytic continuation of certain domain functions. We present new proofs of some results, which are more or less known, about the Green's function and certain conformal maps of quadrature domains and domains bounded by ellipses. We also obtain some new results about the biharmonic Green's function in quadrature domains.

Keywords

30B40
30C20
31A30

This publication has 1 reference indexed in Scilit:

The Schwarz Function and Its Applications
Published by American Mathematical Society (AMS) ,1974