APM346-2012 > Misc Math

Lec 23 Possion formula clarification

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Kun Guo:
Attached picture is a screen shot of online notes lecture 23. I was wondering if there is an addition r in front of sin(n*theta) in (12). Also, is there missing a^(-n) in calculating An and Cn?

Victor Ivrii:
Good catch

Miranda Jarvis:
I don't understand, if in equation (12) we are plugging in r=a to eq(10) how is there still and r involved as a variable?

Victor Ivrii:

--- Quote from: Miranda Jarvis on November 18, 2012, 03:14:20 PM ---I don't understand, if in equation (12) we are plugging in r=a to eq(10) how is there still and r involved as a variable?

--- End quote ---

We plug $r=a$ to recover coefficients (which do not depend on $r$). After they are recovered we plug them to the original expression for $u$ which  still contains $r$.

Aida Razi:
I was wondering if Cn has to be sin(nθ) instead of cos(nθ)?

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