Question

Closed form for $\rm{Li }_2\left( -{\frac {i\sqrt {3}}{3}} \right)$

score 126 · Answer 1 · 2026-03-25 20:42:10

126

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Closed form for $\rm{Li }_2\left( -{\frac {i\sqrt {3}}{3}} \right)$

Published on 25 Mar 2026 - 20:42

score 116 · Answer 2 · 2026-04-13 02:30:47

116

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What does the formal definition of "closed-form" say about finite sums exactly?

Published on 13 Apr 2026 - 2:30

score 105 · Answer 3 · 2022-04-09 10:43:39

105

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Is there a closed form solution to $x^a + x^b - x^{a+b} = 0$ for $x > 0$, given $a,b > 0$?

Published on 09 Apr 2022 - 10:43

score 49 · Answer 4 · 2026-04-12 23:52:40

49

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Closed form for a recursive sequence: reference request

Published on 12 Apr 2026 - 23:52

score 117 · Answer 5 · 2026-04-12 03:26:05

117

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Is there a closed-form expression for the first k terms in a binomial series?

Published on 12 Apr 2026 - 3:26

score 660 · Answer 6 · 2026-04-10 04:10:09

660

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Closed-form solution of recurrence relation

Published on 10 Apr 2026 - 4:10

score 71 · Answer 7 · 2026-04-10 21:56:20

71

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Sum in closed form

Published on 10 Apr 2026 - 21:56

score 211 · Answer 8 · 2026-03-29 03:36:54

211

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How can we prove a closed form for $\frac{1}{8} \text{Li}_2\left(\frac{2+\sqrt{3}}{4} \right)+\text{Li}_2\left(2+\sqrt{3}\right)$?

Published on 29 Mar 2026 - 3:36

score 192 · Answer 9 · 2026-03-31 16:13:03

192

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solving for exact solution of $x^{x^x} = 17$

Published on 31 Mar 2026 - 16:13

score 145 · Answer 10 · 2022-05-05 13:35:08

Finding a better approximation for $f(L) = \left\lfloor{\frac{1}{4}\sum_{n=1}^{L-1}\left\lfloor n+300\times2^{n/7}\right\rfloor}\right\rfloor$

score 56 · Answer 11 · 2026-03-28 16:13:34

56

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A Regularized Beta function limit: $\lim_{a\to0}\frac{1-\text I_\frac zb(a,b)}a$

Published on 28 Mar 2026 - 16:13

score 252 · Answer 12 · 2026-03-28 09:57:37

252

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$I(x) = -\int_0^1 \frac{1}{z}\ln\left(\frac{1-x z + \sqrt{1-2 x z+ z^2}}{2}\right)\,dz$

Published on 28 Mar 2026 - 9:57

score 112 · Answer 13 · 2026-03-27 21:23:51

112

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Proof that $\sum_{n=1}^\infty\frac{F_n}{3^n n} = \frac{\ln(\phi+1)}{\sqrt{5}}$

Published on 27 Mar 2026 - 21:23

score 171 · Answer 14 · 2026-04-13 00:40:50

171

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Question on a closed-form expression related to the harmonic number $H_n$

Published on 13 Apr 2026 - 0:40

score 74 · Answer 15 · 2026-03-26 07:44:17

74

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Closed form representation for $\sum_{k=0}^{\lfloor n/2 \rfloor} \binom{n-k}k$

Published on 26 Mar 2026 - 7:44

List Question

Closed form for $\rm{Li }_2\left( -{\frac {i\sqrt {3}}{3}} \right)$

What does the formal definition of "closed-form" say about finite sums exactly?

Is there a closed form solution to $x^a + x^b - x^{a+b} = 0$ for $x > 0$, given $a,b > 0$?

Closed form for a recursive sequence: reference request

Is there a closed-form expression for the first k terms in a binomial series?

Closed-form solution of recurrence relation

Sum in closed form

How can we prove a closed form for $\frac{1}{8} \text{Li}_2\left(\frac{2+\sqrt{3}}{4} \right)+\text{Li}_2\left(2+\sqrt{3}\right)$?

solving for exact solution of $x^{x^x} = 17$

Finding a better approximation for $f(L) = \left\lfloor{\frac{1}{4}\sum_{n=1}^{L-1}\left\lfloor n+300\times2^{n/7}\right\rfloor}\right\rfloor$

A Regularized Beta function limit: $\lim_{a\to0}\frac{1-\text I_\frac zb(a,b)}a$

$I(x) = -\int_0^1 \frac{1}{z}\ln\left(\frac{1-x z + \sqrt{1-2 x z+ z^2}}{2}\right)\,dz$

Proof that $\sum_{n=1}^\infty\frac{F_n}{3^n n} = \frac{\ln(\phi+1)}{\sqrt{5}}$

Question on a closed-form expression related to the harmonic number $H_n$

Closed form representation for $\sum_{k=0}^{\lfloor n/2 \rfloor} \binom{n-k}k$

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