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Aug
28
comment A partial recurrence equation
Interesting! I guess this connection with the Chebyshev polynomials is likely to be linked with Marc's solution using the Stirling numbers.
Aug
28
awarded  Scholar
Aug
28
accepted A partial recurrence equation
Aug
28
comment A partial recurrence equation
I see. It appears that computing the Stirling numbers involves a recursion. So, in some sense, there isn't a closed form solution at all!
Aug
28
awarded  Supporter
Aug
28
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Aug
28
revised A partial recurrence equation
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28
awarded  Student
Aug
28
comment A partial recurrence equation
Thanks Kevin and Brian. I should have been more clear. As Brian suggests, I'm assuming that $q(n,m) = 0$ if any index is negative. However, this makes $q(n,0) = (-1)^n$ for all $n > 0$. I've added this to the question just to make it clear.
Aug
28
asked A partial recurrence equation
Sep
6
awarded  Teacher
Sep
6
answered Find the Frequency Components of a Time Series Graph