For Laplaces equation inside a circular disk (r a), using (2.5.45) and (2.5.47), show

Chapter 2, Problem 2.4.11

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For Laplaces equation inside a circular disk (r a), using (2.5.45) and (2.5.47), show that u(r, ) = 1 f( ) ! 1 2 + n=0 r a n cos n( ) d. Using cos z = Re [eiz], sum the resulting geometric series to obtain Poissons integral formula.

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