List questions from spherical-harmonics

Published on 23 Feb 2026 - 15:04

53

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L_1 norm of spherical harmonics

Published on 19 Sep 2023 - 12:18

81

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To expand $f(x)=\begin{cases}-1, &-1<x<0\\+1,&0<x<1\end{cases}$ in Legendre polynomial series and obtain formula for expansion coefficients

Published on 02 Oct 2023 - 2:14

26

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Relation between spherical harmonics in $\mathbb{S}^2$ vs circular harmonics in $\mathbb{S}^1$

Published on 05 Oct 2023 - 21:49

42

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Evaluation of integrals of the cross products of vector spherical harmonics

Published on 11 Oct 2023 - 14:43

18

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Spheroidal eigenvalues with shifted boundary conditions

Published on 11 Oct 2023 - 17:46

78

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Verification: Eigenfunction expansion using products of bessel and spherical harmonics

Published on 19 Oct 2023 - 21:51

14

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If $u : \mathbb{R}^3 \to \mathbb{R}$ is a smooth function satisfying $\sum_{m=-l}^l \langle u, Y_{l,m} \rangle_{S^2}=0$, is it necessarily radial?

Published on 02 Mar 2026 - 17:13

18

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Understanding the Dual Emergence of Legendre Polynomials in Differential Equations and Orthogonalization

Published on 15 Nov 2023 - 19:58

89

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Legendre's Polynomial and spherical harmonics

Published on 16 Nov 2023 - 20:32

32

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Relationship between Cylindrical and Spherical Hankel Functions via Integration

Published on 18 Dec 2023 - 17:07

30

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Help with an integral involving associated Legendre functions?

Published on 23 Feb 2026 - 15:05

37

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Expansion of $\frac{\text{erfc}({|\vec{r} - \vec{r'}|})}{|\vec{r} - \vec{r'}|}$ in spherical harmonics?

Published on 03 Jan 2024 - 13:12

21

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Spherical multipole moments after flipping an axis

Published on 25 Mar 2026 - 9:48

38

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Sum of a binomial relation confusion

Published on 18 Jan 2024 - 16:30

List Question

Integral of Squared Spherical Harmonics

L_1 norm of spherical harmonics

To expand $f(x)=\begin{cases}-1, &-1<x<0\\+1,&0<x<1\end{cases}$ in Legendre polynomial series and obtain formula for expansion coefficients

Relation between spherical harmonics in $\mathbb{S}^2$ vs circular harmonics in $\mathbb{S}^1$

Evaluation of integrals of the cross products of vector spherical harmonics

Spheroidal eigenvalues with shifted boundary conditions

Verification: Eigenfunction expansion using products of bessel and spherical harmonics

If $u : \mathbb{R}^3 \to \mathbb{R}$ is a smooth function satisfying $\sum_{m=-l}^l \langle u, Y_{l,m} \rangle_{S^2}=0$, is it necessarily radial?

Understanding the Dual Emergence of Legendre Polynomials in Differential Equations and Orthogonalization

Legendre's Polynomial and spherical harmonics

Relationship between Cylindrical and Spherical Hankel Functions via Integration

Help with an integral involving associated Legendre functions?

Expansion of $\frac{\text{erfc}({|\vec{r} - \vec{r'}|})}{|\vec{r} - \vec{r'}|}$ in spherical harmonics?

Spherical multipole moments after flipping an axis

Sum of a binomial relation confusion

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