Question

Convergence of trigonometric infinity series

score 105 · Answer 1 · 2016-09-08 18:04:00

105

Views

Convergence of trigonometric infinity series

Published on 08 Sep 2016 - 18:04

score 287 · Answer 2 · 2016-09-13 11:17:11

287

Views

$ \sum_{j=1}^{M/2}\sum_{k=1}^{M-1}\cos{\left(\frac{2\pi}{M}kj\right)}=-M/2 $

Published on 13 Sep 2016 - 11:17

score 62 · Answer 3 · 2016-09-17 03:25:32

62

Views

Trigonometric polynomials are spanned by ${e^{inx}}$

Published on 17 Sep 2016 - 3:25

score 1.4k · Answer 4 · 2016-09-18 20:40:44

1.4k

Views

How to evaluate $\sum\limits_{k=0}^{n-1} \sin^t(\pi k/2n)$?

Published on 18 Sep 2016 - 20:40

score 3.9k · Answer 5 · 2016-09-19 00:52:55

3.9k

Views

taylor series sinx pi/6

Published on 19 Sep 2016 - 0:52

score 40 · Answer 6 · 2016-09-19 12:58:07

40

Views

A special case of Dirichlet series

Published on 19 Sep 2016 - 12:58

score 115 · Answer 7 · 2016-09-23 05:45:44

115

Views

Show that the exponentials $1, e^{2\pi ix}, \dots , e^{2\pi ikx}, \dots$ form the basis for trigonometric polynomials.

Published on 23 Sep 2016 - 5:45

score 196 · Answer 8 · 2016-09-23 15:07:17

196

Views

Does $\sum_{k=0}^{\infty}\sin\left(\frac{\pi x}{2^k}\right)$ have a simple form with interesting properties?

Published on 23 Sep 2016 - 15:07

score 65 · Answer 9 · 2016-09-26 05:52:51

65

Views

Is $\lim_{m \to 0+} \sum\limits_{k=1}^{\infty} k^{\left(\frac{1}{1+m}\right)} \sin\left(\frac{\pi x}{k^2}\right)$ ~= $K x$?

Published on 26 Sep 2016 - 5:52

score 156 · Answer 10 · 2016-09-29 14:55:27

156

Views

Summation of trig functions

Published on 29 Sep 2016 - 14:55

score 95 · Answer 11 · 2016-09-30 16:30:05

95

Views

Calculus $ {b \over n} \sum_{k=1}^n \sin\left({kb \over n}\right) = \text{?} $

Published on 30 Sep 2016 - 16:30

score 111 · Answer 12 · 2026-03-27 07:57:10

111

Views

Singularity and laurent series for sinus function

Published on 27 Mar 2026 - 7:57

score 90 · Answer 13 · 2016-10-08 22:43:32

90

Views

Inifinite product of cos(x)/x?

Published on 08 Oct 2016 - 22:43

score 87 · Answer 14 · 2016-10-10 15:15:10

87

Views

The sequence $(x_n)$ is given recursively by $x_{0}=0$, $x_{1}=1$, $ x_{n+1}=x_{n} \sqrt{x^{2}_{n-1}+1}+x_{n-1}\sqrt {x^{2}_{n}+1} , \ \ \ n \geq 1 $

Published on 10 Oct 2016 - 15:15

score 283 · Answer 15 · 2016-10-10 18:55:27

283

Views

Find a Sum for $\left(1+\cos(x)+\cos(2x)+\cos(3x)+...+\cos((n-1)x)\right)^2$

Published on 10 Oct 2016 - 18:55

List Question

Convergence of trigonometric infinity series

$ \sum_{j=1}^{M/2}\sum_{k=1}^{M-1}\cos{\left(\frac{2\pi}{M}kj\right)}=-M/2 $

Trigonometric polynomials are spanned by ${e^{inx}}$

How to evaluate $\sum\limits_{k=0}^{n-1} \sin^t(\pi k/2n)$?

taylor series sinx pi/6

A special case of Dirichlet series

Show that the exponentials $1, e^{2\pi ix}, \dots , e^{2\pi ikx}, \dots$ form the basis for trigonometric polynomials.

Does $\sum_{k=0}^{\infty}\sin\left(\frac{\pi x}{2^k}\right)$ have a simple form with interesting properties?

Is $\lim_{m \to 0+} \sum\limits_{k=1}^{\infty} k^{\left(\frac{1}{1+m}\right)} \sin\left(\frac{\pi x}{k^2}\right)$ ~= $K x$?

Summation of trig functions

Calculus $ {b \over n} \sum_{k=1}^n \sin\left({kb \over n}\right) = \text{?} $

Singularity and laurent series for sinus function

Inifinite product of cos(x)/x?

The sequence $(x_n)$ is given recursively by $x_{0}=0$, $x_{1}=1$, $ x_{n+1}=x_{n} \sqrt{x^{2}_{n-1}+1}+x_{n-1}\sqrt {x^{2}_{n}+1} , \ \ \ n \geq 1 $

Find a Sum for $\left(1+\cos(x)+\cos(2x)+\cos(3x)+...+\cos((n-1)x)\right)^2$

Trending Questions

Popular # Hahtags

Popular Questions