Question

Does this reduce down to the PolyGamma function?

score 78 · Answer 1 · 2026-05-05 23:27:37

78

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Does this reduce down to the PolyGamma function?

Published on 05 May 2026 - 23:27

score 363 · Answer 2 · 2026-04-25 17:07:52

363

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Closed Form for the Integral: $\int_0^1 t^n\log\Gamma(t+a)dt$

Published on 25 Apr 2026 - 17:07

score 855 · Answer 3 · 2026-04-29 07:33:00

855

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Integral $\int_0^\infty\Big[\log\left(1+x^2\right)-\psi\left(1+x^2\right)\Big]dx$

Published on 29 Apr 2026 - 7:33

score 1.5k · Answer 4 · 2026-04-06 01:43:41

1.5k

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Show some properties of the Digamma Function

Published on 06 Apr 2026 - 1:43

score 204 · Answer 5 · 2026-03-25 15:56:40

204

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Recurrence relation for polygamma reflection polynomials

Published on 25 Mar 2026 - 15:56

score 3.1k · Answer 6 · 2026-03-25 17:37:14

3.1k

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The most complete reference for identities and special values for polylogarithm and polygamma functions

Published on 25 Mar 2026 - 17:37

score 516 · Answer 7 · 2026-03-25 16:06:03

516

Views

Numeric approximation for fitting a Gamma Distribution with a single parameter

Published on 25 Mar 2026 - 16:06

score 932 · Answer 8 · 2026-03-25 16:06:53

932

Views

Poles of hypergeometric function $_2F_1$

Published on 25 Mar 2026 - 16:06

score 96 · Answer 9 · 2026-03-25 16:06:31

96

Views

Infinite Gamma Derivative Identity

Published on 25 Mar 2026 - 16:06

score 315 · Answer 10 · 2026-03-25 17:36:51

315

Views

Evaluating $\psi^{(1/2)}(x)$ of the extended polygamma function

Published on 25 Mar 2026 - 17:36

score 539 · Answer 11 · 2026-03-25 17:44:41

539

Views

Are the real and imaginary parts of Riemann zeta equal to each other by multiplication of a Riemann Siegel theta function expression?

Published on 25 Mar 2026 - 17:44

score 268 · Answer 12 · 2026-03-25 15:58:41

268

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Recurrence relation for the polygamma function of negative order?

Published on 25 Mar 2026 - 15:58

score 78 · Answer 13 · 2026-03-25 17:41:50

78

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I ran $\frac{d^n}{dx^n}[(x!)!]$ through the calculator but don’t understand the $R^{(0,1)}$ and $R(n,x)$ in the output

Published on 25 Mar 2026 - 17:41

score 172 · Answer 14 · 2026-03-25 15:58:33

172

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Explicit forms of negapolygamma difference with arguments that differ by a half?

Published on 25 Mar 2026 - 15:58

score 230 · Answer 15 · 2026-03-25 17:39:21

230

Views

Evaluate an infinite series involving the polygamma function OR first derivative of the hurwitz zeta function

Published on 25 Mar 2026 - 17:39

List Question

Does this reduce down to the PolyGamma function?

Closed Form for the Integral: $\int_0^1 t^n\log\Gamma(t+a)dt$

Integral $\int_0^\infty\Big[\log\left(1+x^2\right)-\psi\left(1+x^2\right)\Big]dx$

Show some properties of the Digamma Function

Recurrence relation for polygamma reflection polynomials

The most complete reference for identities and special values for polylogarithm and polygamma functions

Numeric approximation for fitting a Gamma Distribution with a single parameter

Poles of hypergeometric function $_2F_1$

Infinite Gamma Derivative Identity

Evaluating $\psi^{(1/2)}(x)$ of the extended polygamma function

Are the real and imaginary parts of Riemann zeta equal to each other by multiplication of a Riemann Siegel theta function expression?

Recurrence relation for the polygamma function of negative order?

I ran $\frac{d^n}{dx^n}[(x!)!]$ through the calculator but don’t understand the $R^{(0,1)}$ and $R(n,x)$ in the output

Explicit forms of negapolygamma difference with arguments that differ by a half?

Evaluate an infinite series involving the polygamma function OR first derivative of the hurwitz zeta function

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