Question

Prove or disprove that $\left(f'(x)+g'(x)\right)\geq 2$

score 128 · Answer 1 · 2026-03-28 23:59:47

128

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Prove or disprove that $\left(f'(x)+g'(x)\right)\geq 2$

Published on 28 Mar 2026 - 23:59

score 59 · Answer 2 · 2026-04-12 16:17:45

59

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Convergence of $1 - \sqrt{ \frac{2}{n-1} } \cdot \frac{ \Gamma(n/2) }{ \Gamma( \frac{n-1}{2} ) } $ as $n \to \infty$

Published on 12 Apr 2026 - 16:17

score 120 · Answer 3 · 2021-09-24 06:58:46

120

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Integral incomplete gamma:$\int_0^\infty x^{k-1} \frac{\gamma(x,t)}{\Gamma(x)} dx$, $k\in \{1,2,3...\}$ and $t>0$.

Published on 24 Sep 2021 - 6:58

score 131 · Answer 4 · 2026-04-12 01:52:58

131

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What's the intuition that helps to understand factorial of real number?

Published on 12 Apr 2026 - 1:52

score 62 · Answer 5 · 2021-09-25 16:04:25

62

Views

$\int_0^\infty x^5e^{-x^3}\ln(1+x)dx$

Published on 25 Sep 2021 - 16:04

score 126 · Answer 6 · 2026-04-12 17:32:13

126

Views

About the inequality $f(-x)<\left(\Gamma(1-x)\right)^{\frac{1}{1-x}}$

Published on 12 Apr 2026 - 17:32

score 181 · Answer 7 · 2021-09-29 22:56:13

181

Views

Show that $\dfrac{k}{2^{2k-2}}=(\prod_{j=1}^k \sin \frac{\pi j}{2k})^2$ for $k \in \mathbb{N}$.

Published on 29 Sep 2021 - 22:56

score 346 · Answer 8 · 2026-04-01 22:49:08

346

Views

Prove $\displaystyle\sum_{-\infty}^0\text H(x)=\frac12\sum_0^\infty\frac{\text H_\frac x2-\text H_\frac{x-1}2}{x!}=\frac{\text{Ei}(2)-\text{Ei}(1)}e$

Published on 01 Apr 2026 - 22:49

score 42 · Answer 9 · 2026-04-10 17:30:23

42

Views

How to generalize a particular integral representation of Gamma function to negative parameter coefficients?

Published on 10 Apr 2026 - 17:30

score 285 · Answer 10 · 2026-04-12 04:50:11

285

Views

Calculate the gamma function in a program

Published on 12 Apr 2026 - 4:50

score 75 · Answer 11 · 2026-04-12 07:16:47

75

Views

Gamma function and Time scale calculus

Published on 12 Apr 2026 - 7:16

score 134 · Answer 12 · 2021-10-03 04:36:32

134

Views

$\int_0^{\infty}e^{-x^3}\sin(x^3)dx$

Published on 03 Oct 2021 - 4:36

score 131 · Answer 13 · 2026-04-02 17:38:20

131

Views

Evaluate $\int_{\mathbb{R}^n} \left(\frac{\lambda}{\lambda^2+|x|^2}\right)^N dx$

Published on 02 Apr 2026 - 17:38

score 268 · Answer 14 · 2026-04-12 19:18:35

268

Views

Baby rudin theorem 8.18

Published on 12 Apr 2026 - 19:18

score 154 · Answer 15 · 2021-10-06 10:12:18

154

Views

Prove or disprove that : $\int_{0}^{\infty}\left(\left(x^{\frac{3}{2}}e^{-x^{2}}\right)!-1-\frac{1}{e^{x^{2}}+1}\right)dx+\frac{7}{10}<0$

Published on 06 Oct 2021 - 10:12

List Question

Prove or disprove that $\left(f'(x)+g'(x)\right)\geq 2$

Convergence of $1 - \sqrt{ \frac{2}{n-1} } \cdot \frac{ \Gamma(n/2) }{ \Gamma( \frac{n-1}{2} ) } $ as $n \to \infty$

Integral incomplete gamma:$\int_0^\infty x^{k-1} \frac{\gamma(x,t)}{\Gamma(x)} dx$, $k\in \{1,2,3...\}$ and $t>0$.

What's the intuition that helps to understand factorial of real number?

$\int_0^\infty x^5e^{-x^3}\ln(1+x)dx$

About the inequality $f(-x)<\left(\Gamma(1-x)\right)^{\frac{1}{1-x}}$

Show that $\dfrac{k}{2^{2k-2}}=(\prod_{j=1}^k \sin \frac{\pi j}{2k})^2$ for $k \in \mathbb{N}$.

Prove $\displaystyle\sum_{-\infty}^0\text H(x)=\frac12\sum_0^\infty\frac{\text H_\frac x2-\text H_\frac{x-1}2}{x!}=\frac{\text{Ei}(2)-\text{Ei}(1)}e$

How to generalize a particular integral representation of Gamma function to negative parameter coefficients?

Calculate the gamma function in a program

Gamma function and Time scale calculus

$\int_0^{\infty}e^{-x^3}\sin(x^3)dx$

Evaluate $\int_{\mathbb{R}^n} \left(\frac{\lambda}{\lambda^2+|x|^2}\right)^N dx$

Baby rudin theorem 8.18

Prove or disprove that : $\int_{0}^{\infty}\left(\left(x^{\frac{3}{2}}e^{-x^{2}}\right)!-1-\frac{1}{e^{x^{2}}+1}\right)dx+\frac{7}{10}<0$

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