List questions from special-functions

Published on 03 Apr 2026 - 21:03

51

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Integral of product of Bessel functions of different order

Published on 31 Mar 2026 - 5:41

50

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Proof of transformation of Hypergeometric to Whittaker.

Published on 30 Mar 2026 - 13:25

83

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How to get rid of large numbers in a function?

Published on 25 Mar 2026 - 12:24

111

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how to solve $m$ in inequality involving $m \log m $?

Published on 04 Dec 2023 - 20:56

49

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Integral of indirectly defined function

Published on 23 Feb 2026 - 13:32

192

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Is it possible to solve $(x+1)^x = x^{x+1}$ for $x$ in a closed form?

Published on 10 Dec 2023 - 19:13

33

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Eisenstein series and large-$n$ behavior

Published on 11 Dec 2023 - 3:13

204

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Explicit inverse of $x\mapsto\frac{1}{\alpha} (x+1)^{\frac{\alpha - 1}{\alpha}} | x - 1 |^{\frac{1}{\alpha}} \frac{\alpha(x - 1) + 2}{(x- 1)(x + 1)}$

Published on 31 Mar 2026 - 19:17

66

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Closed form expression of the countour integral of Gamma functions combined with a Gaussian hypergeometric function?

Published on 30 Mar 2026 - 14:57

266

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Fascinating property of the Dirichlet Beta function

Published on 19 Dec 2023 - 20:02

18

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hyperconfluent geometric function expressed in Laguerre polynomials references

Published on 19 Mar 2026 - 20:32

80

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Antiderivative of Meijer G-function

Published on 02 Apr 2026 - 6:07

70

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Modeling the probability of observing $N$ photons in an interval of time

Published on 26 Mar 2026 - 4:36

446

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Prove the zeta log gamma integral $\int_0^1{\zeta(1-n,1-t)\ln\Gamma{(t)}}dt = \frac{H_n\zeta(-n)+\zeta’(-n)}{n}$

Published on 25 Mar 2026 - 12:50

List Question

Behavior of Incomplete Gamma function with negative s, as x goes to zero

Integral of product of Bessel functions of different order

Proof of transformation of Hypergeometric to Whittaker.

How to get rid of large numbers in a function?

how to solve $m$ in inequality involving $m \log m $?

Integral of indirectly defined function

Is it possible to solve $(x+1)^x = x^{x+1}$ for $x$ in a closed form?

Eisenstein series and large-$n$ behavior

Explicit inverse of $x\mapsto\frac{1}{\alpha} (x+1)^{\frac{\alpha - 1}{\alpha}} | x - 1 |^{\frac{1}{\alpha}} \frac{\alpha(x - 1) + 2}{(x- 1)(x + 1)}$

Closed form expression of the countour integral of Gamma functions combined with a Gaussian hypergeometric function?

Fascinating property of the Dirichlet Beta function

hyperconfluent geometric function expressed in Laguerre polynomials references

Antiderivative of Meijer G-function

Modeling the probability of observing $N$ photons in an interval of time

Prove the zeta log gamma integral $\int_0^1{\zeta(1-n,1-t)\ln\Gamma{(t)}}dt = \frac{H_n\zeta(-n)+\zeta’(-n)}{n}$

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