List questions from special-functions

Published on 24 Apr 2026 - 17:24

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Is there a way to derive a function inverse from the function?

Published on 12 Apr 2026 - 7:04

420

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Asymptotics for 2 Humbert series special forms

Published on 15 Apr 2026 - 15:41

223

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Root number of the $L$-function of $y^2 = x^3 - n^2x$ and $n \pmod 8$.

Published on 25 Mar 2026 - 22:30

392

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Evaluating $\int_0^1 \frac{\sin(y)}{y\sqrt{1-y^2}}\,dy$ (a step of evaluating $\int_0^{\infty} \frac{\sin(\sin(x))}{x}\,dx$)

Published on 16 Apr 2026 - 16:17

100

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On the zeros of Bessel functions of parameter $\nu=-1/3$

Published on 15 Apr 2026 - 3:58

278

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Laguerre polynomial question

Published on 10 Apr 2026 - 15:56

2.5k

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Parity of spherical harmonics

Published on 14 Apr 2026 - 17:01

226

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Finding minima and maxima of the map $f(x) = \sum_{k \in \mathbb Z} e^{-c(x+k)^2}, x \in [0,1]$

Published on 15 Apr 2026 - 8:32

85

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Show that $\Gamma(\Omega)\leq \Gamma\Big(\operatorname{W}\Big(x^{x}\Big)\Big)<2$ on $(0,1]$

Published on 16 Apr 2026 - 7:05

50

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Hermite polynomial definition

Published on 11 Apr 2026 - 4:46

410

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Root of $x = \tanh(a x)$

Published on 13 Apr 2026 - 15:20

91

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$\phi(x+1)=\phi(x)$ and $\phi(\frac{x}{2})\phi(\frac{x+1}{2}) =d\phi(x)$ then $\phi$ is constant

Published on 17 Apr 2026 - 7:37

90

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Use skills to solve this integral

Published on 15 Apr 2026 - 0:08

16

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Transforming $0 = D u P''(u) - (D+G u)P'(u) + (G-Vu)P(u)$ to a standard form?

Published on 22 Apr 2026 - 7:38

List Question

Show that $\frac{B(x,y)}{c^{y}} = \int_{0}^{\infty} \frac{t^{x-1}}{{(c+t)}^{x+y}}$

Is there a way to derive a function inverse from the function?

Asymptotics for 2 Humbert series special forms

Root number of the $L$-function of $y^2 = x^3 - n^2x$ and $n \pmod 8$.

Evaluating $\int_0^1 \frac{\sin(y)}{y\sqrt{1-y^2}}\,dy$ (a step of evaluating $\int_0^{\infty} \frac{\sin(\sin(x))}{x}\,dx$)

On the zeros of Bessel functions of parameter $\nu=-1/3$

Laguerre polynomial question

Parity of spherical harmonics

Finding minima and maxima of the map $f(x) = \sum_{k \in \mathbb Z} e^{-c(x+k)^2}, x \in [0,1]$

Show that $\Gamma(\Omega)\leq \Gamma\Big(\operatorname{W}\Big(x^{x}\Big)\Big)<2$ on $(0,1]$

Hermite polynomial definition

Root of $x = \tanh(a x)$

$\phi(x+1)=\phi(x)$ and $\phi(\frac{x}{2})\phi(\frac{x+1}{2}) =d\phi(x)$ then $\phi$ is constant

Use skills to solve this integral

Transforming $0 = D u P''(u) - (D+G u)P'(u) + (G-Vu)P(u)$ to a standard form?

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