If is any complex number, then . If...
(1)
... what is and ?...
Kind regards
Hi,
I have the following -periodic function:
I've computed the Exponential Fourier Series for the given function:
(1)
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I need to compute the following sum:
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The Parseval's identity is:
(2)
(3)
(4)
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What is:
Isn't it:
Is (3) and (4) correct?
I would greatly appriciate guidance to compute the sum.
Thank you
One and half year ago I opened this thread...
http://www.mathhelpforum.com/math-he...ies-95343.html
... with the task of verify the result I obtained in the Fourier series expansion of the function in . Opalg and DeMath confirmed the following result...
(1)
Now if You set in (1) with some easy steps You obtain...
(2)
A simple computer program can verify the convergence of (2) to that value. It seems to me however that with the approach used by 4Math we arrive at a different result , and I'm not able to explain why. Regarding the series (2) it is remarkable the fact that in F. Sheid, Numerical Analysis, McGraw-Hill 1968 in the prob. 17.15 [pag. 162] You can read regarding series (2)...
... Stegun & Abramowitz [Journal of SIAM, 1956] demonstrated that 5745 terms are needed for three exact decimals...
Well!... my computer for three exact decimals needs 'only' 1484 terms... did something change in the last 55 years? ...
Kind regards