List questions from special-functions

Published on 29 Mar 2026 - 15:37

147

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Can I evaluate this integral in closed-form $\int\limits_{0}^{\infty} x \exp \left(- \sum\limits_{k=0}^{N}a_k x^{k}\right)dx$?

Published on 08 Nov 2016 - 1:24

144

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Estimate of $\sum_{n=1}^x\exp(\pi i t/n)$ and $\sum_{n=-x}^x\exp(\pi i t/n)$?

Published on 08 Nov 2016 - 15:02

336

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addition theorem for product of THREE Bessel functions: $\sum_n I_{n+m}(a) I_{n-m}(b) I_{p-n}(c)$

Published on 28 Mar 2026 - 21:44

250

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Meijer $G$ function and Lauricella Functions

Published on 08 Nov 2016 - 17:20

58

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$m$th derivative of a Laguerre polynomial multiplied by a Gaussian

Published on 09 Nov 2016 - 17:34

339

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Topological boundary of open set given as preimage

Published on 10 Nov 2016 - 6:26

99

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References request for LegendreP in Mathematica

Published on 26 Mar 2026 - 18:30

174

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Evaluation of $\int_0^\infty\frac{-\ln{x}}{x^2+1}\ln\left(1-\frac{\ln{x}}{x^2+1}\right)\,dx$?

Published on 01 Apr 2026 - 11:04

207

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Sum involving exp of squared zeros of Bessel functions

Published on 28 Mar 2026 - 13:41

480

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Integral with trigonometric and dilogarithm

Published on 16 Nov 2016 - 10:29

425

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Fourier-transform of non-analytic function

Published on 26 Mar 2026 - 18:30

55

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Quantum dot integral so hard to crack! Please help if you can

Published on 16 Nov 2016 - 17:52

149

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Summation of factorial products

Published on 31 Mar 2026 - 20:06

119

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Improper integral $\int_{1}^{\infty}\frac{\left \{ x \right \}-\frac{1}{2}}{x(\log x+z)}dx$

Published on 25 Mar 2026 - 18:56

List Question

Product of two generalized hypergeometric functions

Can I evaluate this integral in closed-form $\int\limits_{0}^{\infty} x \exp \left(- \sum\limits_{k=0}^{N}a_k x^{k}\right)dx$?

Estimate of $\sum_{n=1}^x\exp(\pi i t/n)$ and $\sum_{n=-x}^x\exp(\pi i t/n)$?

addition theorem for product of THREE Bessel functions: $\sum_n I_{n+m}(a) I_{n-m}(b) I_{p-n}(c)$

Meijer $G$ function and Lauricella Functions

$m$th derivative of a Laguerre polynomial multiplied by a Gaussian

Topological boundary of open set given as preimage

References request for LegendreP in Mathematica

Evaluation of $\int_0^\infty\frac{-\ln{x}}{x^2+1}\ln\left(1-\frac{\ln{x}}{x^2+1}\right)\,dx$?

Sum involving exp of squared zeros of Bessel functions

Integral with trigonometric and dilogarithm

Fourier-transform of non-analytic function

Quantum dot integral so hard to crack! Please help if you can

Summation of factorial products

Improper integral $\int_{1}^{\infty}\frac{\left \{ x \right \}-\frac{1}{2}}{x(\log x+z)}dx$

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