Question

what is exactly analytic continuation of the product log function

score 3.1k · Answer 1 · 2026-03-27 19:31:54

3.1k

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what is exactly analytic continuation of the product log function

Published on 27 Mar 2026 - 19:31

score 818 · Answer 2 · 2013-05-21 19:30:41

818

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Integral of Bessel function of the first kind and exponential function

Published on 21 May 2013 - 19:30

score 307 · Answer 3 · 2026-04-07 05:05:38

307

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Need help with $\int_0^\infty x^{-\frac{3}{2}}\ \text{Li}_{\sqrt{2}}(-x)\ dx$

Published on 07 Apr 2026 - 5:05

score 675 · Answer 4 · 2026-03-30 01:52:02

675

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How to prove $4\times{_2F_1}(-1/4,3/4;7/4;(2-\sqrt3)/4)-{_2F_1}(3/4,3/4;7/4;(2-\sqrt3)/4)\stackrel?=\frac{3\sqrt[4]{2+\sqrt3}}{\sqrt2}$

Published on 30 Mar 2026 - 1:52

score 131 · Answer 5 · 2026-04-09 00:52:35

131

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An inequality with Gamma Function

Published on 09 Apr 2026 - 0:52

score 249 · Answer 6 · 2013-05-24 08:48:34

249

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Find the special function form of $\int_0^{+\infty} \left(\sqrt{1+x^4} - x^2\right) dx$

Published on 24 May 2013 - 8:48

score 415 · Answer 7 · 2026-04-09 05:59:46

415

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How to prove a generalized integral identity

Published on 09 Apr 2026 - 5:59

score 1.4k · Answer 8 · 2013-05-25 15:06:04

1.4k

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Extending the result $\int_{0}^{\infty} \left( ( 1 - 2C(x))^{2} + (1-2S(x))^{2} \right) \, dx = \frac{4}{\pi} $

Published on 25 May 2013 - 15:06

score 1.1k · Answer 9 · 2026-04-06 19:29:16

1.1k

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Meaning of Euler Reflection Formula

Published on 06 Apr 2026 - 19:29

score 127 · Answer 10 · 2013-05-26 11:19:08

127

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Possible error in Wood's report on polylogarithms

Published on 26 May 2013 - 11:19

score 297 · Answer 11 · 2026-04-06 08:42:44

297

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A question related to Riemann zeta function

Published on 06 Apr 2026 - 8:42

score 229 · Answer 12 · 2013-05-27 17:18:47

229

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Integral involving bessel functions, exponential and ratio of polynomials

Published on 27 May 2013 - 17:18

score 1.1k · Answer 13 · 2013-05-27 20:09:26

1.1k

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Contour integral representation of Confluent Hypergeometric Function

Published on 27 May 2013 - 20:09

score 1.4k · Answer 14 · 2026-03-30 01:48:05

1.4k

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How to prove $\int_0^\infty J_\nu(x)^3dx\stackrel?=\frac{\Gamma(1/6)\ \Gamma(1/6+\nu/2)}{2^{5/3}\ 3^{1/2}\ \pi^{3/2}\ \Gamma(5/6+\nu/2)}$?

Published on 30 Mar 2026 - 1:48

score 927 · Answer 15 · 2026-03-30 01:52:04

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Is $K\left(\frac{\sqrt{2-\sqrt3}}2\right)\stackrel?=\frac{\Gamma\left(\frac16\right)\Gamma\left(\frac13\right)}{4\ \sqrt[4]3\ \sqrt\pi}$

Published on 30 Mar 2026 - 1:52

List Question

what is exactly analytic continuation of the product log function

Integral of Bessel function of the first kind and exponential function

Need help with $\int_0^\infty x^{-\frac{3}{2}}\ \text{Li}_{\sqrt{2}}(-x)\ dx$

How to prove $4\times{_2F_1}(-1/4,3/4;7/4;(2-\sqrt3)/4)-{_2F_1}(3/4,3/4;7/4;(2-\sqrt3)/4)\stackrel?=\frac{3\sqrt[4]{2+\sqrt3}}{\sqrt2}$

An inequality with Gamma Function

Find the special function form of $\int_0^{+\infty} \left(\sqrt{1+x^4} - x^2\right) dx$

How to prove a generalized integral identity

Extending the result $\int_{0}^{\infty} \left( ( 1 - 2C(x))^{2} + (1-2S(x))^{2} \right) \, dx = \frac{4}{\pi} $

Meaning of Euler Reflection Formula

Possible error in Wood's report on polylogarithms

A question related to Riemann zeta function

Integral involving bessel functions, exponential and ratio of polynomials

Contour integral representation of Confluent Hypergeometric Function

How to prove $\int_0^\infty J_\nu(x)^3dx\stackrel?=\frac{\Gamma(1/6)\ \Gamma(1/6+\nu/2)}{2^{5/3}\ 3^{1/2}\ \pi^{3/2}\ \Gamma(5/6+\nu/2)}$?

Is $K\left(\frac{\sqrt{2-\sqrt3}}2\right)\stackrel?=\frac{\Gamma\left(\frac16\right)\Gamma\left(\frac13\right)}{4\ \sqrt[4]3\ \sqrt\pi}$

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