Harmonic functions in a cylinder with normal derivatives vanishing on the boundary
Volume 74 / 2000
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.