Question

Value of a function expressed as infinite summation

score 35 · Answer 1 · 2017-02-15 08:14:41

35

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Value of a function expressed as infinite summation

Published on 15 Feb 2017 - 8:14

score 130 · Answer 2 · 2026-03-31 23:50:59

130

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Convolution of $(f*f)(t)$

Published on 31 Mar 2026 - 23:50

score 4k · Answer 3 · 2017-02-16 07:23:37

4k

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Fourier coefficients of even and odd functions

Published on 16 Feb 2017 - 7:23

score 140 · Answer 4 · 2026-04-01 06:35:04

140

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Show $\frac{\pi}{\alpha \sinh (\pi \alpha)} = \sum_{n= -\infty}^\infty \frac{(-1)^n}{\alpha^2 + n^2} $

Published on 01 Apr 2026 - 6:35

score 1.7k · Answer 5 · 2017-02-17 09:45:43

1.7k

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Period of $|\sin x|$ for Fourier series

Published on 17 Feb 2017 - 9:45

score 384 · Answer 6 · 2017-02-17 13:51:30

384

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Solving Partial differential equations using fourier series

Published on 17 Feb 2017 - 13:51

score 811 · Answer 7 · 2017-02-17 16:09:15

811

Views

compute $\sum \frac{1}{(4n^2-1)^2}$ by using fourier series of sinx

Published on 17 Feb 2017 - 16:09

score 704 · Answer 8 · 2017-02-18 18:07:15

704

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Fourier series problem

Published on 18 Feb 2017 - 18:07

score 750 · Answer 9 · 2017-02-19 07:21:13

750

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Range of function $ \frac{1}{n\pi}(1-\cos(n\pi))\sin(\frac{n\pi}{2})$ and determination of Fourier coefficients.

Published on 19 Feb 2017 - 7:21

score 128 · Answer 10 · 2026-03-29 02:31:22

128

Views

How to calculate the Fourier coefficients

Published on 29 Mar 2026 - 2:31

score 100 · Answer 11 · 2017-02-20 13:01:00

100

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What is the sum of $\sum\limits_{\substack{k=1}}^{N}{\cos(2 \pi k^2/n)} $

Published on 20 Feb 2017 - 13:01

score 997 · Answer 12 · 2017-02-20 14:10:29

997

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fourier series of $\cosh(ax)$

Published on 20 Feb 2017 - 14:10

score 139 · Answer 13 · 2026-03-31 08:17:46

139

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Show that$\displaystyle\sum_{n=1}^\infty\frac{\sin( nz)}{n}$ diverges if $\mathfrak{Im} \,(z)\neq0$

Published on 31 Mar 2026 - 8:17

score 77 · Answer 14 · 2017-02-21 01:24:08

77

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How do I prove $\lim_{n\to \infty} \sigma_n (f)(0)=1/n\lim_{n\to\infty}\int_{-\pi}^\pi f(t)k_n(t)dt=1/2(f(0^-)+f(0^+))$

Published on 21 Feb 2017 - 1:24

score 12.4k · Answer 15 · 2017-02-22 16:49:54

12.4k

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Fourier series periodic extension sketch

Published on 22 Feb 2017 - 16:49

List Question

Value of a function expressed as infinite summation

Convolution of $(f*f)(t)$

Fourier coefficients of even and odd functions

Show $\frac{\pi}{\alpha \sinh (\pi \alpha)} = \sum_{n= -\infty}^\infty \frac{(-1)^n}{\alpha^2 + n^2} $

Period of $|\sin x|$ for Fourier series

Solving Partial differential equations using fourier series

compute $\sum \frac{1}{(4n^2-1)^2}$ by using fourier series of sinx

Fourier series problem

Range of function $ \frac{1}{n\pi}(1-\cos(n\pi))\sin(\frac{n\pi}{2})$ and determination of Fourier coefficients.

How to calculate the Fourier coefficients

What is the sum of $\sum\limits_{\substack{k=1}}^{N}{\cos(2 \pi k^2/n)} $

fourier series of $\cosh(ax)$

Show that$\displaystyle\sum_{n=1}^\infty\frac{\sin( nz)}{n}$ diverges if $\mathfrak{Im} \,(z)\neq0$

How do I prove $\lim_{n\to \infty} \sigma_n (f)(0)=1/n\lim_{n\to\infty}\int_{-\pi}^\pi f(t)k_n(t)dt=1/2(f(0^-)+f(0^+))$

Fourier series periodic extension sketch

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