Corollary of Poisson Integral Formula
The formula follows from Poisson integral formula applied to u:
By means of conformal maps, the formula can be generalized to any simply connected open set.
Read more about this topic: Schwarz Integral Formula
Famous quotes containing the words integral and/or formula:
“Painting myself for others, I have painted my inward self with colors clearer than my original ones. I have no more made my book than my book has made mea book consubstantial with its author, concerned with my own self, an integral part of my life; not concerned with some third-hand, extraneous purpose, like all other books.”
—Michel de Montaigne (15331592)
“Every formula which expresses a law of nature is a hymn of praise to God.”
—Maria Mitchell (18181889)