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A mean value property of harmonic functions on the interior of a hyperbola

Author(s): E. Symeonidis

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXI;
Issue: 2;
Start page: 143;
Date: 2012;
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Keywords: Mean value property | harmonic function | hyperbola

We establish a mean value property for harmonic functions on the interior of a hyperbola. This property connects their boundary values with the interior ones on the axis of the hyperbola from the focus to infinity.
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