List questions from special-functions

Published on 25 Mar 2026 - 14:21

165

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Laplace transform of the logarithmic integral function

Published on 17 Jul 2015 - 22:44

476

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Help with the integral $\int_{0}^{\infty}\frac{\log(1\pm ix)^{2}}{\left(\frac{t}{2}\log(1 \pm ix) \right )^{2}-\pi ^{2}n^{2}}e^{-2\pi mx}dx$

Published on 18 Jul 2015 - 23:43

72

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Integral that resembles an exponential integral

Published on 19 Jul 2015 - 20:48

877

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Solve $x^a = 1 - \exp(-x)$ for $x$

Published on 26 Mar 2026 - 6:20

662

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Prove that $T_n$ satisfy $ \sum_{k=0}^{N-1}{T_i(x_k)T_j(x_k)} = \begin{cases} 0 &: i\ne j \\ l\neq 0 &: i=j \end{cases} \,\! $

Published on 26 Mar 2026 - 14:22

95

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Lipschitz-like behaviour of quartic polynomials

Published on 21 Jul 2015 - 14:08

177

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integral from gradshteyn and ryzhik

Published on 23 Jul 2015 - 8:07

80

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Does the Borel-transform of the Lerch-Transcendent have a name/simple expression?

Published on 23 Jul 2015 - 10:34

380

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Calculating in closed form an integral in Airy function

Published on 23 Jul 2015 - 12:25

57

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Finding the Correct Function that fits the Scenario

Published on 23 Jul 2015 - 17:11

324

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The integral of the product of three Meijer-G-functions

Published on 04 Apr 2026 - 13:43

149

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Definition of sigmoidal curve with epsilon

Published on 24 Jul 2015 - 8:33

377

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Calculating in closed form $\int_0^1 \log(x)\left(\frac{\operatorname{Li}_2\left( x \right)}{\sqrt{1-x^2}}\right)^2 \,dx$

Published on 24 Jul 2015 - 21:33

600

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A conjectured identity for tetralogarithms $\operatorname{Li}_4$

Published on 27 Mar 2026 - 18:36

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Asymptotic behavior of the generalized polygamma function

Laplace transform of the logarithmic integral function

Help with the integral $\int_{0}^{\infty}\frac{\log(1\pm ix)^{2}}{\left(\frac{t}{2}\log(1 \pm ix) \right )^{2}-\pi ^{2}n^{2}}e^{-2\pi mx}dx$

Integral that resembles an exponential integral

Solve $x^a = 1 - \exp(-x)$ for $x$

Prove that $T_n$ satisfy $ \sum_{k=0}^{N-1}{T_i(x_k)T_j(x_k)} = \begin{cases} 0 &: i\ne j \\ l\neq 0 &: i=j \end{cases} \,\! $

Lipschitz-like behaviour of quartic polynomials

integral from gradshteyn and ryzhik

Does the Borel-transform of the Lerch-Transcendent have a name/simple expression?

Calculating in closed form an integral in Airy function

Finding the Correct Function that fits the Scenario

The integral of the product of three Meijer-G-functions

Definition of sigmoidal curve with epsilon

Calculating in closed form $\int_0^1 \log(x)\left(\frac{\operatorname{Li}_2\left( x \right)}{\sqrt{1-x^2}}\right)^2 \,dx$

A conjectured identity for tetralogarithms $\operatorname{Li}_4$

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