List questions from beta-function

177

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Help with the Euler-type integral $\int_{0}^{m}\frac{1-e^{2\pi i x}}{x-j}\frac{x^{s-1}}{(1+x)^{z}}dx$

Published on 25 Mar 2026 - 12:21

130

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$\int_0^\infty \left(\sqrt[4]{1+x^4}-x\right)\,\mathrm{d}x$ related to Beta function

Published on 28 Apr 2020 - 18:30

480

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Proving beta function property: $ B(a,b) B(a+b,c) = B(b,c) B(a,b+c) $

Published on 28 Apr 2020 - 23:41

276

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Lower Bounds on Regularised Incomplete Beta Function

Published on 01 May 2020 - 22:37

241

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Riemann Zeta function and Catalan's constant

Published on 07 May 2020 - 20:55

142

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Definite integral using Euler integrals

Published on 15 May 2020 - 1:02

238

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Proving an integral identity similar to the beta function, but without using the beta function

Published on 16 May 2020 - 5:28

295

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Expected maximum of beta random variables

Published on 17 May 2020 - 20:12

136

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How to prove expectations of beta binomials

Published on 20 May 2020 - 13:51

56

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Approximate Beta density function to Gaussian density

Published on 23 Feb 2026 - 8:18

101

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How to find the integral value of hypergeometric functions

Published on 22 May 2020 - 14:53

163

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Efficient methods to calculate incomplete beta $B[a,b;x]$ for $b=0$

Published on 23 May 2020 - 21:30

45

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Obtain for n > 0 a relation of the form $I(m, n) = kI(m, n − 1)$

Published on 27 May 2020 - 2:44

38

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Estimation of a explicit Riemann-integral

Published on 02 Jun 2020 - 8:20

103

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How to integrate $\int_0^{+\infty}\frac{dx}{\sqrt{(1+x^2)(1+2x^2)}}$

Published on 02 Jun 2020 - 9:38

List Question

Help with the Euler-type integral $\int_{0}^{m}\frac{1-e^{2\pi i x}}{x-j}\frac{x^{s-1}}{(1+x)^{z}}dx$

$\int_0^\infty \left(\sqrt[4]{1+x^4}-x\right)\,\mathrm{d}x$ related to Beta function

Proving beta function property: $ B(a,b) B(a+b,c) = B(b,c) B(a,b+c) $

Lower Bounds on Regularised Incomplete Beta Function

Riemann Zeta function and Catalan's constant

Definite integral using Euler integrals

Proving an integral identity similar to the beta function, but without using the beta function

Expected maximum of beta random variables

How to prove expectations of beta binomials

Approximate Beta density function to Gaussian density

How to find the integral value of hypergeometric functions

Efficient methods to calculate incomplete beta $B[a,b;x]$ for $b=0$

Obtain for n > 0 a relation of the form $I(m, n) = kI(m, n − 1)$

Estimation of a explicit Riemann-integral

How to integrate $\int_0^{+\infty}\frac{dx}{\sqrt{(1+x^2)(1+2x^2)}}$

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