Question

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

score 116 · Answer 1 · 2018-12-13 15:04:41

116

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

Published on 13 Dec 2018 - 15:04

score 564 · Answer 2 · 2018-12-19 23:32:42

564

Views

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

Published on 19 Dec 2018 - 23:32

score 42 · Answer 3 · 2018-12-22 10:59:11

42

Views

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

Published on 22 Dec 2018 - 10:59

score 445 · Answer 4 · 2018-12-30 23:58:58

445

Views

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

Published on 30 Dec 2018 - 23:58

score 522 · Answer 5 · 2019-01-03 02:06:18

522

Views

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

Published on 03 Jan 2019 - 2:06

score 411 · Answer 6 · 2019-01-03 17:43:14

411

Views

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

Published on 03 Jan 2019 - 17:43

score 72 · Answer 7 · 2019-01-05 10:18:28

72

Views

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

Published on 05 Jan 2019 - 10:18

score 75 · Answer 8 · 2026-03-23 04:34:48

75

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 23 Mar 2026 - 4:34

score 444 · Answer 9 · 2026-03-25 04:25:15

444

Views

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

Published on 25 Mar 2026 - 4:25

score 368 · Answer 10 · 2019-01-14 17:08:07

368

Views

Incomplete Beta function

Published on 14 Jan 2019 - 17:08

score 1.7k · Answer 11 · 2026-03-22 14:31:20

1.7k

Views

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

Published on 22 Mar 2026 - 14:31

score 74 · Answer 12 · 2019-01-27 03:23:14

74

Views

Bounds of the second parameter of the incomplete beta function

Published on 27 Jan 2019 - 3:23

score 118 · Answer 13 · 2019-01-27 11:03:49

118

Views

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

Published on 27 Jan 2019 - 11:03

score 211 · Answer 14 · 2019-02-01 12:42:23

211

Views

Sum of powers of regularized incomplete beta function

Published on 01 Feb 2019 - 12:42

score 226 · Answer 15 · 2026-03-25 11:13:40

226

Views

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

Published on 25 Mar 2026 - 11:13

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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