Question

Evaluating Coefficients for a Fourier Series when Exponential terms are present [Approach needed]

score 263 · Answer 1 · 2026-03-25 12:24:44

263

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Evaluating Coefficients for a Fourier Series when Exponential terms are present [Approach needed]

Published on 25 Mar 2026 - 12:24

score 138 · Answer 2 · 2026-03-22 07:10:48

138

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Proving the relation: $\sum_{n\in\Bbb Z} \frac{2a}{a^2+4 \pi^2 n^2} = \sum_{n\in\Bbb Z} e^{-a \left\lvert n \right\rvert}$

Published on 22 Mar 2026 - 7:10

score 869 · Answer 3 · 2026-03-27 23:23:35

869

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Fourier series of non-periodic function $f(x)=e^{-\frac{ax}{L}}$

Published on 27 Mar 2026 - 23:23

score 62 · Answer 4 · 2019-02-27 21:14:53

62

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Calculate a sum using Fourier-series

Published on 27 Feb 2019 - 21:14

score 15.5k · Answer 5 · 2019-03-02 20:11:49

15.5k

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Compute the Fourier series for $f(x)=x$ over the interval $-\pi\leq x \leq\pi$

Published on 02 Mar 2019 - 20:11

score 49 · Answer 6 · 2019-03-03 00:05:47

49

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A clarification on this Fourier series

Published on 03 Mar 2019 - 0:05

score 4.2k · Answer 7 · 2019-03-03 14:38:15

4.2k

Views

Fourier series expansion for $f(x)=x$ over the interval $-\pi\leq x\leq \pi$

Published on 03 Mar 2019 - 14:38

score 91 · Answer 8 · 2026-03-26 02:55:54

91

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Prove that $\sin(\pi z)$ can be written as infinite product

Published on 26 Mar 2026 - 2:55

score 804 · Answer 9 · 2019-03-04 04:16:32

804

Views

Coefficient of Complex Fourier Series when f is odd

Published on 04 Mar 2019 - 4:16

score 58 · Answer 10 · 2019-03-04 22:49:34

58

Views

Smoothness of an arbitrary Fourier series

Published on 04 Mar 2019 - 22:49

score 199 · Answer 11 · 2019-03-05 19:31:42

199

Views

Uniqueness of coefficients in infinite sin series $a(x) = \sum\limits_{n=1}^{\infty} a_{i} \sin(n x) =0 $

Published on 05 Mar 2019 - 19:31

score 312 · Answer 12 · 2026-03-26 03:18:45

312

Views

Fourier Series for Rectangular Pulse Train (Natural Sampling Pulse Amplitude Modulation)

Published on 26 Mar 2026 - 3:18

score 81 · Answer 13 · 2019-03-06 03:12:03

81

Views

asymptotic behavior of the series $f(t) = \sum_{n\geq 1 } \cos(n t )/\sqrt{n}$

Published on 06 Mar 2019 - 3:12

score 322 · Answer 14 · 2019-03-06 18:59:49

322

Views

Uniform convergence of integrated Fourier series

Published on 06 Mar 2019 - 18:59

score 1.3k · Answer 15 · 2019-03-07 00:28:45

1.3k

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$\sum_\limits{n\ge 2}\frac{1}{\log n}\sin nx$ is not the Fourier series of a Riemann integrable function.

Published on 07 Mar 2019 - 0:28

List Question

Evaluating Coefficients for a Fourier Series when Exponential terms are present [Approach needed]

Proving the relation: $\sum_{n\in\Bbb Z} \frac{2a}{a^2+4 \pi^2 n^2} = \sum_{n\in\Bbb Z} e^{-a \left\lvert n \right\rvert}$

Fourier series of non-periodic function $f(x)=e^{-\frac{ax}{L}}$

Calculate a sum using Fourier-series

Compute the Fourier series for $f(x)=x$ over the interval $-\pi\leq x \leq\pi$

A clarification on this Fourier series

Fourier series expansion for $f(x)=x$ over the interval $-\pi\leq x\leq \pi$

Prove that $\sin(\pi z)$ can be written as infinite product

Coefficient of Complex Fourier Series when f is odd

Smoothness of an arbitrary Fourier series

Uniqueness of coefficients in infinite sin series $a(x) = \sum\limits_{n=1}^{\infty} a_{i} \sin(n x) =0 $

Fourier Series for Rectangular Pulse Train (Natural Sampling Pulse Amplitude Modulation)

asymptotic behavior of the series $f(t) = \sum_{n\geq 1 } \cos(n t )/\sqrt{n}$

Uniform convergence of integrated Fourier series

$\sum_\limits{n\ge 2}\frac{1}{\log n}\sin nx$ is not the Fourier series of a Riemann integrable function.

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