List questions from fourier-series

Published on 11 Apr 2026 - 14:56

327

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Fourier transform of $\frac{1}{x^2-a^2} \quad a\in \mathbb{R}$

Published on 25 Apr 2026 - 18:12

145

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The alternating Fourier series associated with the fourth Bernoulli polynomial

Published on 09 Apr 2026 - 10:22

779

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Shifted square wave Fourier series

Published on 18 Apr 2026 - 15:17

184

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Finding the transcendental equation and the form of the eigenfunctions given a regular Sturm-Liouville problem

Published on 12 Apr 2026 - 23:50

101

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RMS value of trapeziodal fourier series

Published on 14 Apr 2026 - 16:45

42

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Calculate Fourier series of $f$, but there are multiple $f(x)$'s.

Published on 12 Apr 2026 - 10:47

84

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Evaluating the sum $\sum_{n=1}^{\infty} \frac{x \sin x}{\sqrt{1+n^2} (1+n x^2)}$

Published on 25 Apr 2026 - 3:44

26

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Estimate the sum of expansions for fractional part function

Published on 11 Apr 2026 - 23:06

22

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Finding a signal using Fourier data

Published on 11 Apr 2026 - 11:06

235

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upper bound for Fourier series

Published on 13 Apr 2026 - 12:08

105

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$|\sin(\theta)|=\frac{2}{\pi}-\frac{4}{\pi} \cdot\sum_{m=1}^{\infty}\frac{\cos(2m\theta)}{4 m^2-1}\Rightarrow \sum_{m=1}^{\infty}\frac{1}{16m^2-1} =$?

Published on 15 Apr 2026 - 21:01

90

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Why the Gibb's phenomenon doesn't occurre when arithmetic means are used?

Published on 14 Apr 2026 - 7:04

63

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On sums $\sum_{ k \in \mathbb{Z}} \frac{ e^{ 2 \pi k p i }}{ z + 2 \pi i k }$.

Published on 25 Apr 2026 - 19:50

28

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Fourier Series Confusion with constant an

Published on 08 Apr 2026 - 19:38

List Question

Fourier series of function subject to conditions

Fourier transform of $\frac{1}{x^2-a^2} \quad a\in \mathbb{R}$

The alternating Fourier series associated with the fourth Bernoulli polynomial

Shifted square wave Fourier series

Finding the transcendental equation and the form of the eigenfunctions given a regular Sturm-Liouville problem

RMS value of trapeziodal fourier series

Calculate Fourier series of $f$, but there are multiple $f(x)$'s.

Evaluating the sum $\sum_{n=1}^{\infty} \frac{x \sin x}{\sqrt{1+n^2} (1+n x^2)}$

Estimate the sum of expansions for fractional part function

Finding a signal using Fourier data

upper bound for Fourier series

$|\sin(\theta)|=\frac{2}{\pi}-\frac{4}{\pi} \cdot\sum_{m=1}^{\infty}\frac{\cos(2m\theta)}{4 m^2-1}\Rightarrow \sum_{m=1}^{\infty}\frac{1}{16m^2-1} =$?

Why the Gibb's phenomenon doesn't occurre when arithmetic means are used?

On sums $\sum_{ k \in \mathbb{Z}} \frac{ e^{ 2 \pi k p i }}{ z + 2 \pi i k }$.

Fourier Series Confusion with constant an

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