Section 10.3 Poisson's Integral for the Upper Half-Plane - Maple Application Center
Application Center Applications Section 10.3 Poisson's Integral for the Upper Half-Plane

Section 10.3 Poisson's Integral for the Upper Half-Plane

Authors
: Dr. John Mathews
Engineering software solutions from Maplesoft
This Application runs in Maple. Don't have Maple? No problem!
 Try Maple free for 15 days!
The Dirichlet problem for the upper half plane Im(z)*` > 0`; is to find a function phi(x,y) that is harmonic in the upper half plane and has the boundary values phi(x,0) = U(x);, where U(x) is a real-valued function of the real variable x.

Application Details

Publish Date: October 01, 2003
Created In: Maple V
Language: English

Tags

relativity

More Like This

Section 1.5 The Algebra of Complex Numbers, Revisited
Section 1.1 The Origin of Complex Numbers
2
Section 1.3 The Geometry of Complex Numbers
Section 2.3 The Mappings w = z^n and w = z^`1/n`
Section 2.1 Functions of a Complex Variable
Section 2.4 Limits and Continuity
Section 1.4 The Geometry of Complex Numbers, Continued
Section 1.2 The Algebra of Complex Numbers
Section 2.2 Transformations and Linear Mappings
Section 1.6 The Topology of Complex Numbers
Section 2.6 The Reciprocal Transformation w = 1/z
Section 2.5 Branches of Functions