Question

evaluating $\Gamma(1/2)$ using elementary methods

score 446 · Answer 1 · 2026-04-10 22:48:48

446

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evaluating $\Gamma(1/2)$ using elementary methods

Published on 10 Apr 2026 - 22:48

score 434 · Answer 2 · 2026-03-26 16:14:12

434

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Integral form(s) of a general tetration/power tower integral solution: $\sum\limits_{n=0}^\infty \frac{(pn+q)^{rn+s}Γ(An+B,Cn+D)}{Γ(an+b,cn+d)}$

Published on 26 Mar 2026 - 16:14

score 363 · Answer 3 · 2026-04-12 01:51:00

363

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What is the range of the Gamma function

Published on 12 Apr 2026 - 1:51

score 78 · Answer 4 · 2026-04-11 04:11:30

78

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How to solve such complicated definite double integration

Published on 11 Apr 2026 - 4:11

score 210 · Answer 5 · 2021-08-26 15:52:24

210

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Compute the integral $\displaystyle{\int_0^1 \dfrac{x^a}{\sqrt{1-x}} dx}$

Published on 26 Aug 2021 - 15:52

score 69 · Answer 6 · 2021-08-26 20:34:13

69

Views

Solving $\displaystyle I = \int_{0}^{1} \left (( \ln u)^{-z} - \sum_{k=0}^{n-1} \frac {(\ln u)^{k-z}}{u \cdot k!} \right ) \mathrm {d}u$ with $z>0$.

Published on 26 Aug 2021 - 20:34

score 507 · Answer 7 · 2026-04-09 16:18:31

507

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What is the general formula of the sum $\sum_{k=0}^{n}(-1)^{k} \binom{n}{k}\binom{k/2}{m}$ for $m,n\in\mathbb{N}$?

Published on 09 Apr 2026 - 16:18

score 160 · Answer 8 · 2026-04-10 12:12:58

160

Views

Sum of quotients of gamma functions

Published on 10 Apr 2026 - 12:12

score 643 · Answer 9 · 2026-04-10 05:46:23

643

Views

Strange inequality involving nested binomial coefficients and combinatorial interpretation

Published on 10 Apr 2026 - 5:46

score 380 · Answer 10 · 2026-04-11 04:26:52

380

Views

Factorial-like product where the factors are offset

Published on 11 Apr 2026 - 4:26

score 302 · Answer 11 · 2026-04-11 10:42:49

302

Views

Integral of multiple incomplete gamma-functions

Published on 11 Apr 2026 - 10:42

score 107 · Answer 12 · 2026-04-04 01:01:49

107

Views

What is the best gamma curve fit of this point graph? (building of a correction function)

Published on 04 Apr 2026 - 1:01

score 1k · Answer 13 · 2026-04-08 17:52:24

1k

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What is $\mathcal{R}$?

Published on 08 Apr 2026 - 17:52

score 75 · Answer 14 · 2021-09-05 18:14:18

75

Views

Refinement about $\Gamma{(x^{\Gamma{(x^{\Gamma{(x^2)}}})}-x^{\Gamma{(x)}}+x})\geq \Gamma{(x)}$ using polynomials .

Published on 05 Sep 2021 - 18:14

score 135 · Answer 15 · 2021-09-06 06:40:02

135

Views

Evaluate $\sum^{\infty}_{n=1} \frac{1}{n{2n\choose n}}$

Published on 06 Sep 2021 - 6:40

List Question

evaluating $\Gamma(1/2)$ using elementary methods

Integral form(s) of a general tetration/power tower integral solution: $\sum\limits_{n=0}^\infty \frac{(pn+q)^{rn+s}Γ(An+B,Cn+D)}{Γ(an+b,cn+d)}$

What is the range of the Gamma function

How to solve such complicated definite double integration

Compute the integral $\displaystyle{\int_0^1 \dfrac{x^a}{\sqrt{1-x}} dx}$

Solving $\displaystyle I = \int_{0}^{1} \left (( \ln u)^{-z} - \sum_{k=0}^{n-1} \frac {(\ln u)^{k-z}}{u \cdot k!} \right ) \mathrm {d}u$ with $z>0$.

What is the general formula of the sum $\sum_{k=0}^{n}(-1)^{k} \binom{n}{k}\binom{k/2}{m}$ for $m,n\in\mathbb{N}$?

Sum of quotients of gamma functions

Strange inequality involving nested binomial coefficients and combinatorial interpretation

Factorial-like product where the factors are offset

Integral of multiple incomplete gamma-functions

What is the best gamma curve fit of this point graph? (building of a correction function)

What is $\mathcal{R}$?

Refinement about $\Gamma{(x^{\Gamma{(x^{\Gamma{(x^2)}}})}-x^{\Gamma{(x)}}+x})\geq \Gamma{(x)}$ using polynomials .

Evaluate $\sum^{\infty}_{n=1} \frac{1}{n{2n\choose n}}$

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