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Can you look at Poisson's formula for a half plane as a limit case of Poisson's formula for a disk?

http://en.wikipedia.org/wiki/Poisson_kernel

I can find lots of information about the Poisson kernel for a disk, but not for the half plane. I do know on can mat the unit disk to the half plane using a Möbius transformation, but that's not what this question is asking (that comes in a later question, and is easily looked up in literature).

I can't give an "attempt at a solution" because what' I've tried hasn't produced anything useful. I tried interpreting the formula for the disk in polar coordinates, then transforming to Cartesian and looking for a suitable limit, to no avail.

This is for a project given for a first course Differential Equations.

Thanks in advance

A_B

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# Homework Help: The Poisson Kernel

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