Question

Beta distribution: find the parameter $\alpha$ of $\mathcal{B}e(\alpha,\frac{1}{3})$

score 119 · Answer 1 · 2026-04-16 06:08:04

119

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Beta distribution: find the parameter $\alpha$ of $\mathcal{B}e(\alpha,\frac{1}{3})$

Published on 16 Apr 2026 - 6:08

score 567 · Answer 2 · 2026-04-15 08:24:48

567

Views

Problem with evaluating $\int_0^{\frac{\pi}{2}} \ln(\sin(\theta))d\theta$ using Beta Function

Published on 15 Apr 2026 - 8:24

score 45 · Answer 3 · 2026-04-16 04:24:28

45

Views

Fallacious moving of powers resulting with a correct trigonometric series identity.

Published on 16 Apr 2026 - 4:24

score 448 · Answer 4 · 2026-04-16 00:23:38

448

Views

Solving used Real Based Methods: $\int_0^x \frac{t^k}{\left(t^n + a\right)^m}\:dt$

Published on 16 Apr 2026 - 0:23

score 524 · Answer 5 · 2026-04-17 01:37:47

524

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Solving $\int_0^{\frac{\pi}{2}}\frac{1}{\sin^{2n}(x) + \cos^{2n}(x)}\:dx$

Published on 17 Apr 2026 - 1:37

score 414 · Answer 6 · 2026-04-16 02:10:28

414

Views

Methods to attack integrals that include $(1+x)^{a}\ln^{b}(1+x)$ in the integrand

Published on 16 Apr 2026 - 2:10

score 76 · Answer 7 · 2026-05-11 05:17:58

76

Views

How to find integration of function, in form of hypergeometric function, given below?

Published on 11 May 2026 - 5:17

score 79 · Answer 8 · 2026-04-21 08:24:53

79

Views

How to show: $\psi^{(0)}\left(\frac{1}{n}\right) - \psi^{(0)}\left(1 - \frac{1}{n}\right) = -\pi\cot\left(\frac{\pi}{n}\right)$

Published on 21 Apr 2026 - 8:24

score 448 · Answer 9 · 2026-05-10 13:26:07

448

Views

Seeking methods to solve: $\int_0^\infty \frac{\ln(t)}{t^n + 1}\:dt$

Published on 10 May 2026 - 13:26

score 373 · Answer 10 · 2026-04-30 13:57:45

373

Views

Incomplete Beta function

Published on 30 Apr 2026 - 13:57

score 1.7k · Answer 11 · 2026-03-25 15:12:12

1.7k

Views

Show that the family of beta distributions where parameters $α$ and $β$ are unknown is an exponential family.

Published on 25 Mar 2026 - 15:12

score 77 · Answer 12 · 2026-04-13 16:57:59

77

Views

Bounds of the second parameter of the incomplete beta function

Published on 13 Apr 2026 - 16:57

score 121 · Answer 13 · 2026-04-16 04:15:30

121

Views

Evaluate $\sum\limits_{k=1}^{\infty}\frac{B(k,k)}{k}$ where $B$ denotes the beta function

Published on 16 Apr 2026 - 4:15

score 214 · Answer 14 · 2026-04-13 11:31:46

214

Views

Sum of powers of regularized incomplete beta function

Published on 13 Apr 2026 - 11:31

score 229 · Answer 15 · 2026-05-10 21:58:42

229

Views

Where can I find papers and research on the Alternating Hurwitz Zeta Function?

Published on 10 May 2026 - 21:58

List Question

Beta distribution: find the parameter $\alpha$ of $\mathcal{B}e(\alpha,\frac{1}{3})$

Problem with evaluating $\int_0^{\frac{\pi}{2}} \ln(\sin(\theta))d\theta$ using Beta Function

Fallacious moving of powers resulting with a correct trigonometric series identity.

Solving used Real Based Methods: $\int_0^x \frac{t^k}{\left(t^n + a\right)^m}\:dt$

Solving $\int_0^{\frac{\pi}{2}}\frac{1}{\sin^{2n}(x) + \cos^{2n}(x)}\:dx$

Methods to attack integrals that include $(1+x)^{a}\ln^{b}(1+x)$ in the integrand

How to find integration of function, in form of hypergeometric function, given below?

How to show: $\psi^{(0)}\left(\frac{1}{n}\right) - \psi^{(0)}\left(1 - \frac{1}{n}\right) = -\pi\cot\left(\frac{\pi}{n}\right)$

Seeking methods to solve: $\int_0^\infty \frac{\ln(t)}{t^n + 1}\:dt$

Incomplete Beta function

Show that the family of beta distributions where parameters $α$ and $β$ are unknown is an exponential family.

Bounds of the second parameter of the incomplete beta function

Evaluate $\sum\limits_{k=1}^{\infty}\frac{B(k,k)}{k}$ where $B$ denotes the beta function

Sum of powers of regularized incomplete beta function

Where can I find papers and research on the Alternating Hurwitz Zeta Function?

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