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Harmonic functions in a cylinder with normal derivatives vanishing on the boundary

Volume 74 / 2000

Ikuko Miyamoto, Hidenobu Yoshida Annales Polonici Mathematici 74 (2000), 229-235 DOI: 10.4064/ap-74-1-229-235

Abstract

A harmonic function in a cylinder with the normal derivative vanishing on the boundary is expanded into an infinite sum of certain fundamental harmonic functions. The growth condition under which it is reduced to a finite sum of them is given.

Authors

  • Ikuko Miyamoto
  • Hidenobu Yoshida

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