List questions from gamma-function

Published on 11 Apr 2026 - 17:40

78

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Inequality $\Gamma\left(\sin\left(\frac{1}{x}\right)\right)-\Gamma\left(\sin^2\left(\frac{1}{x}\right)\right)-x+x^2+\frac{1}{3}\geq 0$

Published on 20 Apr 2021 - 10:56

130

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Show that the definition of $z!$ for Re($z$) $\leq −1$ is independent of the value of $n$ chosen.

Published on 10 Apr 2026 - 17:57

73

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Probable existence of an almost integer contained in a limit

Published on 29 Mar 2026 - 21:13

83

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Calculate $H= \int_0^\infty \frac{x^{n+1}}{1+x^n}dx, \, n>2$

Published on 28 Mar 2026 - 6:13

102

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Why does this factorial limit hold for complex numbers?

Published on 11 Apr 2026 - 13:11

77

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Alternate proof of expectation of dirichlet distribution

Published on 08 Apr 2026 - 23:28

460

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Finding $\mathbb{E}[X^s e^{tX}]$ where $X \sim \mathrm{Gamma} (\alpha, \beta)$

Published on 27 Mar 2026 - 4:24

36

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Clarification about this question

Published on 09 Apr 2026 - 20:11

531

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The Gamma function is holomorphic on V

Published on 10 Apr 2026 - 9:55

1.9k

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Proving $\Gamma(x)\Gamma(1-x)=\frac{\pi}{\sin(\pi x)}$

Published on 29 Apr 2021 - 5:28

130

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Is there a name for a factorial-like falling product which uses an arbitrary step $x \in \mathbb{R}$ instead of 1.

Published on 11 Apr 2026 - 23:18

95

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Numerical integration of an integral with singularity

Published on 08 Apr 2026 - 16:15

157

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Why does this Gamma function approximation fail?

Published on 29 Apr 2021 - 19:38

162

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Elementary integral of exponential

Published on 11 Apr 2026 - 6:19

List Question

Integrate using gamma and beta function.

Inequality $\Gamma\left(\sin\left(\frac{1}{x}\right)\right)-\Gamma\left(\sin^2\left(\frac{1}{x}\right)\right)-x+x^2+\frac{1}{3}\geq 0$

Show that the definition of $z!$ for Re($z$) $\leq −1$ is independent of the value of $n$ chosen.

Probable existence of an almost integer contained in a limit

Calculate $H= \int_0^\infty \frac{x^{n+1}}{1+x^n}dx, \, n>2$

Why does this factorial limit hold for complex numbers?

Alternate proof of expectation of dirichlet distribution

Finding $\mathbb{E}[X^s e^{tX}]$ where $X \sim \mathrm{Gamma} (\alpha, \beta)$

Clarification about this question

The Gamma function is holomorphic on V

Proving $\Gamma(x)\Gamma(1-x)=\frac{\pi}{\sin(\pi x)}$

Is there a name for a factorial-like falling product which uses an arbitrary step $x \in \mathbb{R}$ instead of 1.

Numerical integration of an integral with singularity

Why does this Gamma function approximation fail?

Elementary integral of exponential

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