Question

Closed / explicit form of a recursively defined real function involving a square root?

score 181 · Answer 1 · 2026-04-11 21:53:22

181

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Closed / explicit form of a recursively defined real function involving a square root?

Published on 11 Apr 2026 - 21:53

score 393 · Answer 2 · 2026-04-05 16:59:59

393

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How to solve $x^y = ax-b$

Published on 05 Apr 2026 - 16:59

score 123 · Answer 3 · 2022-06-02 22:49:05

123

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Neat function $I(x,y)= \sum\limits_{n=1}^{\infty}\bigg|\int_0^1 \frac{1}{t~(\log t)^y}\exp\bigg(\frac{n^x}{\log t}\bigg) ~dt~\bigg| $. Closed form?

Published on 02 Jun 2022 - 22:49

score 175 · Answer 4 · 2026-04-12 16:06:21

175

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Question on three conjectured closed-form representations related to the Riemann zeta function $\zeta(s)$

Published on 12 Apr 2026 - 16:06

score 234 · Answer 5 · 2026-04-09 08:18:42

234

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How should we optimize this optimization problem

Published on 09 Apr 2026 - 8:18

score 66 · Answer 6 · 2026-04-11 11:15:46

66

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Can ratios of unsigned Stirling numbers of the first kind be simplified?

Published on 11 Apr 2026 - 11:15

score 61 · Answer 7 · 2022-06-08 15:41:49

61

Views

Signed sum of sin and cos

Published on 08 Jun 2022 - 15:41

score 414 · Answer 8 · 2026-04-03 10:00:47

414

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Closed form for $\lim\limits_{n\to\infty}\prod\limits_{k=1}^n{\left(2-\frac{2n^2-\pi^2+8}{n^2}\cos{\frac{(2k-1)\pi}{n}}\right)}$?

Published on 03 Apr 2026 - 10:00

score 40 · Answer 9 · 2026-04-12 22:50:14

40

Views

Scaling Invariant Functions for Weights

Published on 12 Apr 2026 - 22:50

score 188 · Answer 10 · 2026-04-12 17:51:14

188

Views

Proving a closed form of an integral

Published on 12 Apr 2026 - 17:51

score 77 · Answer 11 · 2022-06-22 07:50:54

77

Views

Closed form of $\sum^\infty_{n=0} \binom{n+2}{n} \log(1+ a q^n)$.

Published on 22 Jun 2022 - 7:50

score 78 · Answer 12 · 2026-04-12 19:04:12

78

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Closed form of A Log-Sine-Cosine Integral by Mathematica

Published on 12 Apr 2026 - 19:04

score 67 · Answer 13 · 2022-06-25 02:06:57

67

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Is there a closed form of $x_2x_3\cdots x_n + x_1x_3\cdots x_n + \dots + x_1x_2\cdots x_{n-1}$?

Published on 25 Jun 2022 - 2:06

score 124 · Answer 14 · 2026-04-09 21:02:46

124

Views

how do I solve this equation in the form $c$=$e^b+c^2e^c$

Published on 09 Apr 2026 - 21:02

score 92 · Answer 15 · 2026-04-09 17:15:29

92

Views

Evaluate a kronecker symbol sum: $\sum\limits_{n=1}^\infty \frac {\big(\frac n x\big)}n$ and $\sum\limits_{n=1}^\infty \frac {\big(\frac xn\big)}n$

Published on 09 Apr 2026 - 17:15

List Question

Closed / explicit form of a recursively defined real function involving a square root?

How to solve $x^y = ax-b$

Neat function $I(x,y)= \sum\limits_{n=1}^{\infty}\bigg|\int_0^1 \frac{1}{t~(\log t)^y}\exp\bigg(\frac{n^x}{\log t}\bigg) ~dt~\bigg| $. Closed form?

Question on three conjectured closed-form representations related to the Riemann zeta function $\zeta(s)$

How should we optimize this optimization problem

Can ratios of unsigned Stirling numbers of the first kind be simplified?

Signed sum of sin and cos

Closed form for $\lim\limits_{n\to\infty}\prod\limits_{k=1}^n{\left(2-\frac{2n^2-\pi^2+8}{n^2}\cos{\frac{(2k-1)\pi}{n}}\right)}$?

Scaling Invariant Functions for Weights

Proving a closed form of an integral

Closed form of $\sum^\infty_{n=0} \binom{n+2}{n} \log(1+ a q^n)$.

Closed form of A Log-Sine-Cosine Integral by Mathematica

Is there a closed form of $x_2x_3\cdots x_n + x_1x_3\cdots x_n + \dots + x_1x_2\cdots x_{n-1}$?

how do I solve this equation in the form $c$=$e^b+c^2e^c$

Evaluate a kronecker symbol sum: $\sum\limits_{n=1}^\infty \frac {\big(\frac n x\big)}n$ and $\sum\limits_{n=1}^\infty \frac {\big(\frac xn\big)}n$

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