List questions from beta-function

Published on 06 May 2016 - 2:24

55

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Why is this a beta distribution?

Published on 08 May 2016 - 19:16

140

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Approximation of product of Bernoulli with different proportions

Published on 27 Mar 2026 - 2:37

173

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How to compute $\int_0^1x^a(1-x)^be^{cx}dx$?

Published on 09 May 2016 - 19:22

172

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Solving equation involving factorials

Published on 12 May 2016 - 5:18

90

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How to compute $E[Xr / (Xr +1 - X)] $ where $X$ follows a Beta distibution?

Published on 18 May 2016 - 14:21

134

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Anti-treta function in terms of standard special functions

Published on 19 May 2016 - 14:54

519

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Integral representation of the Beta function

Published on 31 May 2016 - 8:08

249

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About the relation between $\int_{0}^{\infty}\frac{\cosh((\alpha-\beta)x)}{(\cosh(x))^{\alpha+\beta }} \,dx$ and $B(\alpha,\beta)$

Published on 31 May 2016 - 19:42

71

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The integral $\int_0^{\frac{1}{2}}\frac{x^{k-1}}{1-x^{2^k}}dx$ and how simplify the Pochhmammer symbol in related series

Published on 01 Jun 2016 - 11:04

220

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Value of the series $\sum_{n=1}^{\infty}\big (\frac{H_n}{\binom{3n}{n}}\big)^2$

Published on 02 Jun 2016 - 17:22

907

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Asymptotics of incomplete Beta function $B_{1/2}(y+1,y)$ when $y\to\infty$

Published on 25 Mar 2026 - 19:04

7k

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Evaluate$\int_0^1 \frac{x^{m-1} + x^{n-1}}{(1+x)^{m+n}}dx$ in terms of Beta function

Published on 29 Jun 2016 - 12:26

6.9k

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Compute $\int_0^1x^m(1-x^n)^pdx$

Published on 02 Jul 2016 - 8:56

43

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Simplify $B(ix,2+iy,0)$ whre $B$ is the incomplete Beta function

Published on 03 Jul 2016 - 22:00

List Question

Mixed partials of the Beta function B$(a,b)$ at $(1,0^+)$

Why is this a beta distribution?

Approximation of product of Bernoulli with different proportions

How to compute $\int_0^1x^a(1-x)^be^{cx}dx$?

Solving equation involving factorials

How to compute $E[Xr / (Xr +1 - X)] $ where $X$ follows a Beta distibution?

Anti-treta function in terms of standard special functions

Integral representation of the Beta function

About the relation between $\int_{0}^{\infty}\frac{\cosh((\alpha-\beta)x)}{(\cosh(x))^{\alpha+\beta }} \,dx$ and $B(\alpha,\beta)$

The integral $\int_0^{\frac{1}{2}}\frac{x^{k-1}}{1-x^{2^k}}dx$ and how simplify the Pochhmammer symbol in related series

Value of the series $\sum_{n=1}^{\infty}\big (\frac{H_n}{\binom{3n}{n}}\big)^2$

Asymptotics of incomplete Beta function $B_{1/2}(y+1,y)$ when $y\to\infty$

Evaluate$\int_0^1 \frac{x^{m-1} + x^{n-1}}{(1+x)^{m+n}}dx$ in terms of Beta function

Compute $\int_0^1x^m(1-x^n)^pdx$

Simplify $B(ix,2+iy,0)$ whre $B$ is the incomplete Beta function

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