Heat conduction problem in a ring of radius a

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Homework Statement


We previously solved the heat conduction problem in a ring of radius a, and the solution is
upload_2016-4-30_17-12-58.png

c into the sum, perform the sum first (which is just a geometric series), and obtain the general solution, which should only involve one integral in ϑ

Homework Equations


upload_2016-4-30_17-13-50.png


The Attempt at a Solution


upload_2016-4-30_17-14-43.png
[/B]
 
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where is this geometric series come from Never seen it before