Some harmonic Robin functions in the complex plane

Heinrich Begehr; Tatyana Vaitekhovich

doi:10.1515/apam.2010.003

Published by De Gruyter March 18, 2010

Some harmonic Robin functions in the complex plane

Heinrich Begehr and Tatyana Vaitekhovich

From the journal Advances in Pure and Applied Mathematics

https://doi.org/10.1515/apam.2010.003

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Abstract

Explicit harmonic Robin functions are given for the unit disk and a circular ring of the complex plane. The related Robin problems are explicitly solved.

Keywords.: Robin function; Robin boundary value problem; unit disk; circular ring

Received: 2008-03-25

Revised: 2008-06-24

Published Online: 2010-03-18

Published in Print: 2010-March

Some harmonic Robin functions in the complex plane

Abstract

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