Question

Closed form for $x+2^ax^2+3^ax^3+...+n^ax^n$

score 48 · Answer 1 · 2014-11-22 04:55:46

48

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Closed form for $x+2^ax^2+3^ax^3+...+n^ax^n$

Published on 22 Nov 2014 - 4:55

score 167 · Answer 2 · 2026-03-26 08:15:17

167

Views

Is a finite continued fraction a closed-form expression?

Published on 26 Mar 2026 - 8:15

score 8.2k · Answer 3 · 2014-11-22 19:51:19

8.2k

Views

How to find the generating function and the closed form for the generating form

Published on 22 Nov 2014 - 19:51

score 167 · Answer 4 · 2014-11-22 20:24:21

167

Views

How solve $\int \frac{dx}{(x^2-x)^x}$

Published on 22 Nov 2014 - 20:24

score 77 · Answer 5 · 2014-11-23 18:09:59

77

Views

Evaluating the series with arctangents: $\sum_{r=1}^\infty \tan^{-1}\frac{2r}{2+r^2+r^4}$

Published on 23 Nov 2014 - 18:09

score 891 · Answer 6 · 2014-11-24 00:41:30

891

Views

Trying to find the closed form for the nth term of $\frac{1}{1-x^4}$

Published on 24 Nov 2014 - 0:41

score 50 · Answer 7 · 2026-03-28 02:48:50

50

Views

Simplified expression of $ _2F_1((K-1)a,K,Ka,x) $

Published on 28 Mar 2026 - 2:48

score 225 · Answer 8 · 2014-11-24 23:54:25

225

Views

Fixing the closed form of $\sum_{k=1}^nk\sin^2(kx).$

Published on 24 Nov 2014 - 23:54

score 116 · Answer 9 · 2014-11-25 06:38:02

116

Views

Integration $\frac{1}{2\pi}\int_{-\pi}^{\pi}(x-a)^ke^{-i\omega x}dx, \ \ \ \ a\in\mathbb R$.

Published on 25 Nov 2014 - 6:38

score 42 · Answer 10 · 2014-11-26 06:25:02

42

Views

I suspect this integral has a closed form but I can't find it

Published on 26 Nov 2014 - 6:25

score 223 · Answer 11 · 2014-11-26 21:01:18

223

Views

Closed Form Solution for Recurrence Relation

Published on 26 Nov 2014 - 21:01

score 146 · Answer 12 · 2014-11-27 16:48:55

146

Views

Find a closed form for the equations $1^3 = 1$, $2^3 = 3 + 5$, $3^3 = 7 + 9 + 11$

Published on 27 Nov 2014 - 16:48

score 117 · Answer 13 · 2014-11-27 17:52:59

117

Views

Closed-form expressions of $\sum_{n=1}^\infty \frac{\sin^2(an) e^{-bn^2}}{n^2}$

Published on 27 Nov 2014 - 17:52

score 260 · Answer 14 · 2014-11-28 07:14:23

260

Views

Show that $\sum\limits_{i=0}^{n/2} {n-i\choose i}2^i = \frac13(2^{n+1}+(-1)^n)$

Published on 28 Nov 2014 - 7:14

score 196 · Answer 15 · 2014-11-28 16:18:35

196

Views

Compute$\int\limits_{0}^{2} \sqrt{x^2-2x+2}\ln(2+x)dx$.

Published on 28 Nov 2014 - 16:18

List Question

Closed form for $x+2^ax^2+3^ax^3+...+n^ax^n$

Is a finite continued fraction a closed-form expression?

How to find the generating function and the closed form for the generating form

How solve $\int \frac{dx}{(x^2-x)^x}$

Evaluating the series with arctangents: $\sum_{r=1}^\infty \tan^{-1}\frac{2r}{2+r^2+r^4}$

Trying to find the closed form for the nth term of $\frac{1}{1-x^4}$

Simplified expression of $ _2F_1((K-1)a,K,Ka,x) $

Fixing the closed form of $\sum_{k=1}^nk\sin^2(kx).$

Integration $\frac{1}{2\pi}\int_{-\pi}^{\pi}(x-a)^ke^{-i\omega x}dx, \ \ \ \ a\in\mathbb R$.

I suspect this integral has a closed form but I can't find it

Closed Form Solution for Recurrence Relation

Find a closed form for the equations $1^3 = 1$, $2^3 = 3 + 5$, $3^3 = 7 + 9 + 11$

Closed-form expressions of $\sum_{n=1}^\infty \frac{\sin^2(an) e^{-bn^2}}{n^2}$

Show that $\sum\limits_{i=0}^{n/2} {n-i\choose i}2^i = \frac13(2^{n+1}+(-1)^n)$

Compute$\int\limits_{0}^{2} \sqrt{x^2-2x+2}\ln(2+x)dx$.

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