List questions from gamma-function

Published on 11 Apr 2026 - 18:17

628

Views

Show that $\int_0^{\frac{\pi}{2}} \sqrt{\sin\theta}\mathrm d\theta \int_0^{\frac{\pi}{2}} \frac{1}{\sqrt{\sin \theta}} \mathrm d \theta=\pi$

Published on 28 Mar 2026 - 7:44

181

Views

Infinite series involving generalized binomial coefficients and double factorial

Published on 28 Mar 2026 - 7:44

133

Views

$\log\Gamma(z)$ formula to deduce an estimate

Published on 03 Aug 2021 - 20:10

211

Views

Good Lower bound on the Beta function

Published on 28 Mar 2026 - 10:54

175

Views

Factorial-like interpolation problem: looking for a function that satisfies $f(x) - f(x - 1) = \frac{\sin (πx)}{πx}$

Published on 04 Apr 2026 - 1:01

3.1k

Views

Evaluating $\sum\limits_{x=2}^\infty \frac{1}{!x}$ in exact form.

Published on 06 Aug 2021 - 20:17

55

Views

Computation of a finite sum

Published on 12 Apr 2026 - 5:04

210

Views

Fourier transform of $ \frac{e^{-|\xi|^2 |t|}}{|\xi|^2} $

Published on 25 Mar 2026 - 23:22

119

Views

Show that $\Gamma^{(n)}(z) = \int_0^\infty t^{z-1}(\log(t))^ne^{-t}dt$

Published on 13 Aug 2021 - 16:20

138

Views

Kummer's hypergeometric negative integer

Published on 25 Mar 2026 - 15:10

133

Views

IB Extended Essay Research Idea Inquiries

Published on 24 Feb 2026 - 16:36

82

Views

Show that $\log(\Gamma)(1+x) = -Cx + \sum_{k=2}^\infty (-1)^k \frac{\zeta(k)}{k} x^k$

Published on 15 Aug 2021 - 17:12

87

Views

What's the easiest way to derive an approximation of $ \frac{d}{dz} \log \Gamma(z) $ from the literature?

Published on 26 Mar 2026 - 6:08

46

Views

Representation of parametric integral through special functions

Published on 22 Aug 2021 - 11:41

List Question

gamma and beta function....

Show that $\int_0^{\frac{\pi}{2}} \sqrt{\sin\theta}\mathrm d\theta \int_0^{\frac{\pi}{2}} \frac{1}{\sqrt{\sin \theta}} \mathrm d \theta=\pi$

Infinite series involving generalized binomial coefficients and double factorial

$\log\Gamma(z)$ formula to deduce an estimate

Good Lower bound on the Beta function

Factorial-like interpolation problem: looking for a function that satisfies $f(x) - f(x - 1) = \frac{\sin (πx)}{πx}$

Evaluating $\sum\limits_{x=2}^\infty \frac{1}{!x}$ in exact form.

Computation of a finite sum

Fourier transform of $ \frac{e^{-|\xi|^2 |t|}}{|\xi|^2} $

Show that $\Gamma^{(n)}(z) = \int_0^\infty t^{z-1}(\log(t))^ne^{-t}dt$

Kummer's hypergeometric negative integer

IB Extended Essay Research Idea Inquiries

Show that $\log(\Gamma)(1+x) = -Cx + \sum_{k=2}^\infty (-1)^k \frac{\zeta(k)}{k} x^k$

What's the easiest way to derive an approximation of $ \frac{d}{dz} \log \Gamma(z) $ from the literature?

Representation of parametric integral through special functions

Trending Questions

Popular # Hahtags

Popular Questions