List questions from polygamma

107

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Function related to Harmonic numbers, the Pascal triangle, Logarithmic integral and the Polylogarithm.

Published on 25 Mar 2026 - 7:41

391

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Special values $\psi \left(\frac12\right)$ and $\psi \left(\frac13\right)$

Published on 25 Mar 2026 - 7:45

934

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Bounds on the real and imaginary parts of the digamma function $\psi $

Published on 25 Mar 2026 - 9:28

361

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Digamma equation identification

Published on 01 Apr 2026 - 0:43

676

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Prove $\psi^{(1)}\left(\frac 56\right)-\psi^{(1)}\left(\frac 16 \right)=5\left(\psi^{(1)}\left(\frac 23\right)-\psi^{(1)}\left(\frac 13\right)\right)$

Published on 25 Mar 2026 - 7:45

509

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Generalized FoxTrot Series $F(a,b,q,x) = \sum_{k=q}^{\infty} \dfrac {(-1)^{k+1} k^a}{k^b+x}$

Published on 25 Mar 2026 - 7:44

232

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Double series of Harmonic Numbers

Published on 01 Apr 2026 - 2:17

360

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Sum of complex digamma functions

Published on 01 Apr 2026 - 15:41

173

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Solving an integral (or series) equations system

Published on 25 Mar 2026 - 7:47

533

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Is this similarity just a coincidence?

Published on 25 Mar 2026 - 9:26

161

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Limit involving Polygamma function: $\lim_{x\to \infty} \sum_{k = 0}^\infty \frac{2x^2}{(x + k)^3}$

Published on 23 Apr 2026 - 19:24

136

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Evaluation of a digamma series involving golden-ratio

Published on 02 May 2026 - 13:14

77

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The limit of the ratio of polygamma functions

Published on 08 Apr 2026 - 4:15

69

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correct property of a Gamma function?

Published on 06 May 2026 - 14:06

337

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Evaluation of $\int\limits ^{\infty }_{0}\frac{x}{\left( x^{2} +1\right)^2\left( e^{tx} +1\right)} dx$

Published on 25 Mar 2026 - 7:45

List Question

Function related to Harmonic numbers, the Pascal triangle, Logarithmic integral and the Polylogarithm.

Special values $\psi \left(\frac12\right)$ and $\psi \left(\frac13\right)$

Bounds on the real and imaginary parts of the digamma function $\psi $

Digamma equation identification

Prove $\psi^{(1)}\left(\frac 56\right)-\psi^{(1)}\left(\frac 16 \right)=5\left(\psi^{(1)}\left(\frac 23\right)-\psi^{(1)}\left(\frac 13\right)\right)$

Generalized FoxTrot Series $F(a,b,q,x) = \sum_{k=q}^{\infty} \dfrac {(-1)^{k+1} k^a}{k^b+x}$

Double series of Harmonic Numbers

Sum of complex digamma functions

Solving an integral (or series) equations system

Is this similarity just a coincidence?

Limit involving Polygamma function: $\lim_{x\to \infty} \sum_{k = 0}^\infty \frac{2x^2}{(x + k)^3}$

Evaluation of a digamma series involving golden-ratio

The limit of the ratio of polygamma functions

correct property of a Gamma function?

Evaluation of $\int\limits ^{\infty }_{0}\frac{x}{\left( x^{2} +1\right)^2\left( e^{tx} +1\right)} dx$

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