List questions from beta-function

Published on 14 Apr 2026 - 22:38

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Why does $\int_0^1 \frac{\ln(\ln(p))}{1+p^2}dp$ Converge?

Published on 17 Apr 2026 - 7:11

999

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Quick evaluation of the Gamma function?

Published on 16 Apr 2026 - 17:20

48

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explanation of beta random variable

Published on 10 May 2026 - 15:21

9.2k

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Beta distribution as a member of the exponential family

Published on 25 Mar 2026 - 7:16

71

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Finding an elementary evaluation of $B_{1/2}(a,1-a)$

Published on 17 Apr 2026 - 10:01

792

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Analytic continuation of the incomplete beta function

Published on 10 May 2026 - 16:53

195

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Series of binomial coefficient denominators

Published on 11 May 2026 - 2:19

1.7k

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Beta distribution with parameters $\alpha = \beta \to 0$ is Bernoulli distribution

Published on 13 Apr 2026 - 18:15

61

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Likelihood function with inequality

Published on 11 Apr 2026 - 6:38

534

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Sum of $1+\frac{1\cdot 3}{6}+\frac{1\cdot 3 \cdot 5}{6 \cdot 8}+\cdots \cdots$

Published on 17 Apr 2026 - 8:01

543

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Sum of series $\frac{ 4}{10}+\frac{4\cdot 7}{10\cdot 20}+\frac{4\cdot 7 \cdot 10}{10\cdot 20 \cdot 30}+\cdots \cdots$

Published on 16 Apr 2026 - 23:01

17.5k

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Solve the integral using beta functions : $\int_0^1 \frac{(1-x^4)^{3/4}}{(1+x^4)^2}\,dx$

Published on 17 Apr 2026 - 11:11

196

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prove that $\int^1 _0 \frac{x^{m-1}(1-x)^{n-1}dx}{(a+x)^{m+n}} = \frac{\beta(m,n)}{a^n(a+1)^m}$

Published on 17 Apr 2026 - 6:16

940

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Median of beta distribution for alpha = beta

Published on 15 Apr 2026 - 9:01

List Question

Simplifying incomplete beta function

Why does $\int_0^1 \frac{\ln(\ln(p))}{1+p^2}dp$ Converge?

Quick evaluation of the Gamma function?

explanation of beta random variable

Beta distribution as a member of the exponential family

Finding an elementary evaluation of $B_{1/2}(a,1-a)$

Analytic continuation of the incomplete beta function

Series of binomial coefficient denominators

Beta distribution with parameters $\alpha = \beta \to 0$ is Bernoulli distribution

Likelihood function with inequality

Sum of $1+\frac{1\cdot 3}{6}+\frac{1\cdot 3 \cdot 5}{6 \cdot 8}+\cdots \cdots$

Sum of series $\frac{ 4}{10}+\frac{4\cdot 7}{10\cdot 20}+\frac{4\cdot 7 \cdot 10}{10\cdot 20 \cdot 30}+\cdots \cdots$

Solve the integral using beta functions : $\int_0^1 \frac{(1-x^4)^{3/4}}{(1+x^4)^2}\,dx$

prove that $\int^1 _0 \frac{x^{m-1}(1-x)^{n-1}dx}{(a+x)^{m+n}} = \frac{\beta(m,n)}{a^n(a+1)^m}$

Median of beta distribution for alpha = beta

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