Schwarz Integral Formula - Corollary of Poisson Integral Formula

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 me—a 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 (1533–1592)

    Every formula which expresses a law of nature is a hymn of praise to God.
    Maria Mitchell (1818–1889)