Question

Fourier coefficients of $|\cos x|$

score 127 · Answer 1 · 2019-03-15 14:05:10

127

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Fourier coefficients of $|\cos x|$

Published on 15 Mar 2019 - 14:05

score 44 · Answer 2 · 2019-03-16 09:32:02

44

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How to determine the sequence of this graph?

Published on 16 Mar 2019 - 9:32

score 146 · Answer 3 · 2019-03-16 15:53:11

146

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Finding the maximum value of summation of $\sin$ series.

Published on 16 Mar 2019 - 15:53

score 164 · Answer 4 · 2019-03-17 08:26:37

164

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Prove that $A=\pi\sum\limits_{n=0}^{\infty}{n|a_n|^2}$

Published on 17 Mar 2019 - 8:26

score 55 · Answer 5 · 2019-03-19 06:59:53

55

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For references on termwise differentiation of Fourier series?

Published on 19 Mar 2019 - 6:59

score 160 · Answer 6 · 2019-03-20 06:31:26

160

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Fourier Series - Laplace Equation - Help, I'm lost!

Published on 20 Mar 2019 - 6:31

score 60 · Answer 7 · 2019-03-21 03:42:44

60

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Is this formula correct?

Published on 21 Mar 2019 - 3:42

score 162 · Answer 8 · 2019-03-21 10:40:05

162

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Determine the sum $\sum_{n=1}^\infty \left( \frac{1}{(4n)^2-1}-\frac{1}{(4n+2)^2+1}\right)$ using the Fourier series of $|\cos x|$

Published on 21 Mar 2019 - 10:40

score 58 · Answer 9 · 2019-03-21 12:27:28

58

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Function $ f(x)=a_1 \cos(b_1 x) + \dots + a_n \cos(b_n x)$ has root value

Published on 21 Mar 2019 - 12:27

score 78 · Answer 10 · 2019-03-21 12:48:31

78

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$f(x) = \sum_{n=1}^\infty \sin (n x) / n^2 $ not differentiable at $x=0 $.

Published on 21 Mar 2019 - 12:48

score 260 · Answer 11 · 2019-03-22 19:58:36

260

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Why are the limits of the fourier cosine/sine series [0,∞) while the limits of the fourier exponential series are (-∞,∞)?

Published on 22 Mar 2019 - 19:58

score 112 · Answer 12 · 2019-03-22 20:35:19

112

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Compute $\sum_{n\geq1}\frac{1}{\pi^2+n^2}$ by expanding $e^{\pi x}$ in its Fourier series

Published on 22 Mar 2019 - 20:35

score 51 · Answer 13 · 2019-03-23 05:02:19

51

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Questions about Fourier expansion of an unknown function

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score 173 · Answer 14 · 2026-03-27 10:43:03

173

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Calculating infinite sum using Parseval's theorem

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score 283 · Answer 15 · 2019-03-25 19:59:59

283

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Application of Poisson Integral Formula and Fourier Series

Published on 25 Mar 2019 - 19:59

List Question

Fourier coefficients of $|\cos x|$

How to determine the sequence of this graph?

Finding the maximum value of summation of $\sin$ series.

Prove that $A=\pi\sum\limits_{n=0}^{\infty}{n|a_n|^2}$

For references on termwise differentiation of Fourier series?

Fourier Series - Laplace Equation - Help, I'm lost!

Is this formula correct?

Determine the sum $\sum_{n=1}^\infty \left( \frac{1}{(4n)^2-1}-\frac{1}{(4n+2)^2+1}\right)$ using the Fourier series of $|\cos x|$

Function $ f(x)=a_1 \cos(b_1 x) + \dots + a_n \cos(b_n x)$ has root value

$f(x) = \sum_{n=1}^\infty \sin (n x) / n^2 $ not differentiable at $x=0 $.

Why are the limits of the fourier cosine/sine series [0,∞) while the limits of the fourier exponential series are (-∞,∞)?

Compute $\sum_{n\geq1}\frac{1}{\pi^2+n^2}$ by expanding $e^{\pi x}$ in its Fourier series

Questions about Fourier expansion of an unknown function

Calculating infinite sum using Parseval's theorem

Application of Poisson Integral Formula and Fourier Series

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