List questions from digamma-function

Published on 27 May 2017 - 15:56

216

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Limit involving gamma and digamma function

Published on 02 Jun 2017 - 18:46

177

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A property of the _digamma_ function

Published on 15 Jun 2017 - 17:27

136

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What about $\sum_{n=1}^\infty\frac{\mu(n)}{n}\psi\left(1+\frac{1}{n}\right)$ as $\frac{1}{2}$?

Published on 21 Jul 2017 - 7:42

250

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Simultaneous transcendental equations involving digamma functions.

Published on 23 Aug 2017 - 12:21

91

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Integrating $\psi'$ to get $\Gamma$

Published on 04 Sep 2017 - 18:26

62

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Partial sum formula for $\sum_{x=1}^n \frac{1}{bx - x^2}$ at specific limit without using digamma function

Published on 24 Sep 2017 - 21:07

45

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Computing $\lim_{\varepsilon\to 0^{+}}\psi(\varepsilon)/\Gamma(\varepsilon)$ with asymptotic expansions

Published on 04 Oct 2017 - 15:59

142

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Ratio of hypergeometric function with a "Harmonic twist" to a hypergeometric function

Published on 31 Oct 2017 - 15:42

76

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Tricky partial rational sum

Published on 01 Nov 2017 - 0:41

222

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Proof trigamma recurrence relation

Published on 12 Nov 2017 - 18:26

125

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Evaluate $\int_{0}^{\infty}e^{-x^2}\ln(x)dx$

Published on 28 Nov 2017 - 20:24

164

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Taylor series with logarithmic coefficients

Published on 04 Dec 2017 - 7:21

118

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Digamma function and asymptotic bounds

Published on 19 Dec 2017 - 10:37

778

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How to calculate $\int_0^{\frac{\pi}{2}}{x^2\cot x\ln\cos x\, \text{d}x}$.

Published on 30 Dec 2017 - 12:30

List Question

How to evaluate this integral without numerical methods?

Limit involving gamma and digamma function

A property of the _digamma_ function

What about $\sum_{n=1}^\infty\frac{\mu(n)}{n}\psi\left(1+\frac{1}{n}\right)$ as $\frac{1}{2}$?

Simultaneous transcendental equations involving digamma functions.

Integrating $\psi'$ to get $\Gamma$

Partial sum formula for $\sum_{x=1}^n \frac{1}{bx - x^2}$ at specific limit without using digamma function

Computing $\lim_{\varepsilon\to 0^{+}}\psi(\varepsilon)/\Gamma(\varepsilon)$ with asymptotic expansions

Ratio of hypergeometric function with a "Harmonic twist" to a hypergeometric function

Tricky partial rational sum

Proof trigamma recurrence relation

Evaluate $\int_{0}^{\infty}e^{-x^2}\ln(x)dx$

Taylor series with logarithmic coefficients

Digamma function and asymptotic bounds

How to calculate $\int_0^{\frac{\pi}{2}}{x^2\cot x\ln\cos x\, \text{d}x}$.

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