List questions from beta-function

Published on 10 Oct 2018 - 17:33

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Beta distribution CDF to Binomial Survival Function

Published on 14 Oct 2018 - 0:32

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Evaluate $\int_0^1 \log^n(x^a)\log^m(1-x^{\color{red}{\alpha}})x^b(1-x^{\color{red}{\beta}})^t\mathrm dx$ with $\alpha\ne\beta$

Published on 20 Oct 2018 - 8:58

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Generalized Telescoping Series

Published on 25 Mar 2026 - 2:57

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Finding a value from a probability density function

Published on 24 Oct 2018 - 10:09

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How do we prove that $\int_{0}^{\pi/2}\sin(t)^{2n+3}dt=\frac{4^n(2n+2)}{(2n+3)(2n+1){2n\choose n}}$?

Published on 24 Oct 2018 - 16:34

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is there a specified way to get this expansion?

Published on 29 Oct 2018 - 21:21

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Integral $\int_0^1 \frac{(1-x^4)^{3/4}}{(1+x^4)^2}$, may involve beta function

Published on 04 Nov 2018 - 3:53

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How is this formula for the Dirichlet $\beta$-function derived?

Published on 12 Nov 2018 - 13:25

180

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Formula for the ratio $\frac{\Gamma\left(n + \frac{1}{2}\right)}{\Gamma(n + 1)}$ of two values of the Gamma function

Published on 16 Nov 2018 - 5:47

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Beta function $nB(\frac{3}{4}, n-1) \neq 1 $

Published on 23 Nov 2018 - 17:36

362

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Calculate limit of \Gamma function

Published on 20 Mar 2026 - 7:11

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Analogue to the beta-binomial distribution for sampling without replacement?

Published on 06 Dec 2018 - 0:39

227

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Seeking Methods to solve $F\left(\alpha\right) = \int_{0}^{1} x^\alpha \arcsin(x)\:dx$

Published on 25 Mar 2026 - 4:40

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How to evaluate this$ \int_{0}^{c} y^{\alpha-1}(1-y)^{\beta-1}dy$?

Published on 12 Dec 2018 - 15:02

List Question

How to evaluate this integral - beta function?

Beta distribution CDF to Binomial Survival Function

Evaluate $\int_0^1 \log^n(x^a)\log^m(1-x^{\color{red}{\alpha}})x^b(1-x^{\color{red}{\beta}})^t\mathrm dx$ with $\alpha\ne\beta$

Generalized Telescoping Series

Finding a value from a probability density function

How do we prove that $\int_{0}^{\pi/2}\sin(t)^{2n+3}dt=\frac{4^n(2n+2)}{(2n+3)(2n+1){2n\choose n}}$?

is there a specified way to get this expansion?

Integral $\int_0^1 \frac{(1-x^4)^{3/4}}{(1+x^4)^2}$, may involve beta function

How is this formula for the Dirichlet $\beta$-function derived?

Formula for the ratio $\frac{\Gamma\left(n + \frac{1}{2}\right)}{\Gamma(n + 1)}$ of two values of the Gamma function

Beta function $nB(\frac{3}{4}, n-1) \neq 1 $

Calculate limit of \Gamma function

Analogue to the beta-binomial distribution for sampling without replacement?

Seeking Methods to solve $F\left(\alpha\right) = \int_{0}^{1} x^\alpha \arcsin(x)\:dx$

How to evaluate this$ \int_{0}^{c} y^{\alpha-1}(1-y)^{\beta-1}dy$?

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