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Question on the paper Donal F. Connon, "Some integrals involving the Stieltjes constants"

score 351 · Answer 1 · 2026-03-21 05:42:05

351

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Question on the paper Donal F. Connon, "Some integrals involving the Stieltjes constants"

Published on 21 Mar 2026 - 5:42

score 1k · Answer 2 · 2026-03-29 13:47:17

1k

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Closed-form of $\int_0^1\left(\frac{\arctan x}{x}\right)^n\,dx$

Published on 29 Mar 2026 - 13:47

score 318 · Answer 3 · 2026-03-29 13:40:57

318

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Closed-form of $\sum_{k=1}^{\infty }\left(\psi_1(k)\right)^n$

Published on 29 Mar 2026 - 13:40

score 215 · Answer 4 · 2026-03-28 20:08:16

215

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How to prove $H\left(\frac{1}{4}\right)=\frac{e^{\frac{C}{4\pi}-\frac{3}{32}}\cdot A^{\frac{9}{8}}}{\sqrt 2}$

Published on 28 Mar 2026 - 20:08

score 945 · Answer 5 · 2014-10-22 12:53:19

945

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Weighted sum of cosines

Published on 22 Oct 2014 - 12:53

score 234 · Answer 6 · 2014-10-22 13:16:07

234

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Asymptotic Expansions of Exponential Integral function

Published on 22 Oct 2014 - 13:16

score 125 · Answer 7 · 2014-10-22 15:15:55

125

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Manipulating constants inside the Exponential Integral function

Published on 22 Oct 2014 - 15:15

score 425 · Answer 8 · 2026-03-29 13:40:52

425

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Closed-form of $\int_0^1 \int_0^1 \int_0^1 x^{(y^z)} \,dz\,dy\,dx$

Published on 29 Mar 2026 - 13:40

score 37 · Answer 9 · 2014-10-23 20:15:40

37

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Name for hypergeometric-like sum.

Published on 23 Oct 2014 - 20:15

score 80 · Answer 10 · 2026-03-29 15:16:56

80

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Decomposition of $_1F_2(1+n;1,2+n;x)$

Published on 29 Mar 2026 - 15:16

score 1.1k · Answer 11 · 2026-03-26 02:47:51

1.1k

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Closed-forms of real parts of special value dilogarithm identities from inverse tangent integral function

Published on 26 Mar 2026 - 2:47

score 39 · Answer 12 · 2014-10-25 01:56:23

39

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What is a "hypergeometric series" with differences, not just sums, of indices?

Published on 25 Oct 2014 - 1:56

score 83 · Answer 13 · 2014-10-27 23:22:05

83

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Is this a special function?

Published on 27 Oct 2014 - 23:22

score 605 · Answer 14 · 2026-03-28 01:07:21

605

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Prove this closed-form of sum of ${_4F_3}$ hypergeometric functions

Published on 28 Mar 2026 - 1:07

score 352 · Answer 15 · 2026-03-25 14:27:22

352

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Is this integral reducible to an elliptic integral?

Published on 25 Mar 2026 - 14:27

List Question

Question on the paper Donal F. Connon, "Some integrals involving the Stieltjes constants"

Closed-form of $\int_0^1\left(\frac{\arctan x}{x}\right)^n\,dx$

Closed-form of $\sum_{k=1}^{\infty }\left(\psi_1(k)\right)^n$

How to prove $H\left(\frac{1}{4}\right)=\frac{e^{\frac{C}{4\pi}-\frac{3}{32}}\cdot A^{\frac{9}{8}}}{\sqrt 2}$

Weighted sum of cosines

Asymptotic Expansions of Exponential Integral function

Manipulating constants inside the Exponential Integral function

Closed-form of $\int_0^1 \int_0^1 \int_0^1 x^{(y^z)} \,dz\,dy\,dx$

Name for hypergeometric-like sum.

Decomposition of $_1F_2(1+n;1,2+n;x)$

Closed-forms of real parts of special value dilogarithm identities from inverse tangent integral function

What is a "hypergeometric series" with differences, not just sums, of indices?

Is this a special function?

Prove this closed-form of sum of ${_4F_3}$ hypergeometric functions

Is this integral reducible to an elliptic integral?

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