List questions from digamma-function

Published on 13 Jul 2020 - 6:07

326

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Explicit solutions to a digamma function equation

Published on 14 Jul 2016 - 5:57

186

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On simple closed-forms involving the Euler's totient function and the Digamma function

Published on 17 Aug 2016 - 17:50

276

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A really interesting logarithm integral

Published on 29 Aug 2016 - 20:27

174

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An increasing function of gamma functions?

Published on 11 Oct 2016 - 11:30

652

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Digamma series Representation

Published on 16 Oct 2016 - 22:45

126

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Mac-Laurin-series for $\psi(\frac{2x+1}{2x})-\psi(\frac{x+1}{2x})$?

Published on 16 Nov 2016 - 11:02

431

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Conjecture for the value of $\int_0^1 \frac{1}{1+x^{p}}dx$

Published on 26 Nov 2016 - 3:56

115

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$\lim_{N\rightarrow\infty}\left< \psi{\left(N_k+1\right)} - \psi{\left(N_j+1\right)} \right >$

Published on 24 Mar 2026 - 14:56

961

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Solve the system of equations in the maximum likelihood estimation of Gamma distribution parameters

Published on 26 Dec 2016 - 17:44

235

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Deriving expansions of upper incomplete gamma functions $\Gamma (-n,z)$

Published on 26 Dec 2016 - 23:30

1.4k

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Gauss Digamma theorem proof

Published on 29 Dec 2016 - 4:04

140

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How fast does $\lim_{x\to 1^-} \sum_{k=0}^\infty \left( x^{k^2}-x^{(k+\alpha)^2}\right)$ go to $\alpha$?

Published on 19 Mar 2026 - 20:01

525

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What is the closed form of $\sum_{n\geq 1}(-1)^{n-1}\psi'(n)^2$?

Published on 31 Mar 2017 - 20:22

131

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Closed form expression for $\psi_{e^{\pi}}^{(3)}(1)$

Published on 18 Feb 2023 - 11:04

List Question

Characterizing $\frac{m^k - e^{-x}(m+1)^k}{k!}$

Explicit solutions to a digamma function equation

On simple closed-forms involving the Euler's totient function and the Digamma function

A really interesting logarithm integral

An increasing function of gamma functions?

Digamma series Representation

Mac-Laurin-series for $\psi(\frac{2x+1}{2x})-\psi(\frac{x+1}{2x})$?

Conjecture for the value of $\int_0^1 \frac{1}{1+x^{p}}dx$

$\lim_{N\rightarrow\infty}\left< \psi{\left(N_k+1\right)} - \psi{\left(N_j+1\right)} \right >$

Solve the system of equations in the maximum likelihood estimation of Gamma distribution parameters

Deriving expansions of upper incomplete gamma functions $\Gamma (-n,z)$

Gauss Digamma theorem proof

How fast does $\lim_{x\to 1^-} \sum_{k=0}^\infty \left( x^{k^2}-x^{(k+\alpha)^2}\right)$ go to $\alpha$?

What is the closed form of $\sum_{n\geq 1}(-1)^{n-1}\psi'(n)^2$?

Closed form expression for $\psi_{e^{\pi}}^{(3)}(1)$

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