Question

Closed form of $\sum\limits^\infty_{n=1} \left( {(-1)^n}\left( 1+n\ln(\frac{2n-1}{2n+1}) \right) \right)$

score 178 · Answer 1 · 2026-04-17 12:06:42

178

Views

Closed form of $\sum\limits^\infty_{n=1} \left( {(-1)^n}\left( 1+n\ln(\frac{2n-1}{2n+1}) \right) \right)$

Published on 17 Apr 2026 - 12:06

score 270 · Answer 2 · 2026-05-06 08:58:50

270

Views

Proving uniform convergence of a Fourier series

Published on 06 May 2026 - 8:58

score 47 · Answer 3 · 2026-04-14 02:30:19

47

Views

Calculating $\sum_{n=1}^\infty \frac{n^2}{(4n^2-1)^2}$ using Fourier series

Published on 14 Apr 2026 - 2:30

score 1.6k · Answer 4 · 2026-05-10 23:40:20

1.6k

Views

What is the discrete analogue of the Fourier transform of the delta function, and in what sense does it hold?

Published on 10 May 2026 - 23:40

score 576 · Answer 5 · 2026-05-06 08:58:50

576

Views

Proving uniform convergence of $\sum_{n=1}^{\infty}a_n\cos{nx}$ in $\mathbb{R}$

Published on 06 May 2026 - 8:58

score 43 · Answer 6 · 2026-04-09 19:34:44

43

Views

Beginner to Fourier series, stuck on an exercise.

Published on 09 Apr 2026 - 19:34

score 48 · Answer 7 · 2026-04-11 06:06:32

48

Views

How to proceed with this Fourier series?

Published on 11 Apr 2026 - 6:06

score 185 · Answer 8 · 2026-04-10 01:31:27

185

Views

Drum PDEs, Double Fourier Expansions, and Synthesis

Published on 10 Apr 2026 - 1:31

score 316 · Answer 9 · 2026-05-14 03:51:44

316

Views

proving that a piecewise continuous function can be written as a Fourier series

Published on 14 May 2026 - 3:51

score 31 · Answer 10 · 2026-04-14 07:06:47

31

Views

Laplace equation is trivial under the B.C $\frac{\partial u}{\partial x}(0,y)=0$

Published on 14 Apr 2026 - 7:06

score 25 · Answer 11 · 2026-04-17 17:52:33

25

Views

Relating a function to its shifted averages

Published on 17 Apr 2026 - 17:52

score 186 · Answer 12 · 2026-04-13 23:59:37

186

Views

A doubt on the derivative of Fourier Series for $x$.

Published on 13 Apr 2026 - 23:59

score 114 · Answer 13 · 2026-04-12 01:33:14

114

Views

Pendulum with Dirac Comb excitation

Published on 12 Apr 2026 - 1:33

score 263 · Answer 14 · 2026-04-13 19:13:14

263

Views

Calculate $\sum 1/(2k+1)^6$ using Fourier series

Published on 13 Apr 2026 - 19:13

score 50 · Answer 15 · 2026-04-12 19:27:21

50

Views

Finding a periodic function with this fundamental cycle

Published on 12 Apr 2026 - 19:27

List Question

Closed form of $\sum\limits^\infty_{n=1} \left( {(-1)^n}\left( 1+n\ln(\frac{2n-1}{2n+1}) \right) \right)$

Proving uniform convergence of a Fourier series

Calculating $\sum_{n=1}^\infty \frac{n^2}{(4n^2-1)^2}$ using Fourier series

What is the discrete analogue of the Fourier transform of the delta function, and in what sense does it hold?

Proving uniform convergence of $\sum_{n=1}^{\infty}a_n\cos{nx}$ in $\mathbb{R}$

Beginner to Fourier series, stuck on an exercise.

How to proceed with this Fourier series?

Drum PDEs, Double Fourier Expansions, and Synthesis

proving that a piecewise continuous function can be written as a Fourier series

Laplace equation is trivial under the B.C $\frac{\partial u}{\partial x}(0,y)=0$

Relating a function to its shifted averages

A doubt on the derivative of Fourier Series for $x$.

Pendulum with Dirac Comb excitation

Calculate $\sum 1/(2k+1)^6$ using Fourier series

Finding a periodic function with this fundamental cycle

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