Question

Looking for a reference of integral involving product of four spherical harmonics

score 957 · Answer 1 · 2026-04-12 18:14:14

957

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Looking for a reference of integral involving product of four spherical harmonics

Published on 12 Apr 2026 - 18:14

score 142 · Answer 2 · 2026-04-16 15:46:03

142

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Expand $\int_{-1}^0 e^{a\cos{\theta}}J_0(b\sin{\theta})\,d\cos{\theta}$ in spherical harmonics.

Published on 16 Apr 2026 - 15:46

score 1.9k · Answer 3 · 2026-04-07 23:35:16

1.9k

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Spherical harmonic expansion of a sphere

Published on 07 Apr 2026 - 23:35

score 1.3k · Answer 4 · 2026-04-13 06:40:29

1.3k

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What's a good primer from linear algebra to spherical harmonics?

Published on 13 Apr 2026 - 6:40

score 169 · Answer 5 · 2026-04-09 12:36:32

169

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How can a spherical harmonic have a complex value at $\varphi =0$?

Published on 09 Apr 2026 - 12:36

score 141 · Answer 6 · 2026-04-14 05:00:45

141

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Riemann-Lebesgue Lemma for Spherical Harmonics expansion

Published on 14 Apr 2026 - 5:00

score 65 · Answer 7 · 2026-05-10 21:12:34

65

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Can an ideal ellipsoid of rotation be espressed exactly with a spherical harmonic series of a finite number of terms?

Published on 10 May 2026 - 21:12

score 576 · Answer 8 · 2026-04-10 19:35:09

576

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Understanding tensor product of spherical harmonics

Published on 10 Apr 2026 - 19:35

score 3.2k · Answer 9 · 2026-04-18 15:08:59

3.2k

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Rotation of spherical harmonics lead out of representation space?

Published on 18 Apr 2026 - 15:08

score 81 · Answer 10 · 2026-03-25 12:37:38

81

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Real spherical harmonics for signal approximation with high degree yield erroneous result

Published on 25 Mar 2026 - 12:37

score 44 · Answer 11 · 2026-03-25 12:34:46

44

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Extending "mean of circular quantities" to a sphere of 3 or more dimensions

Published on 25 Mar 2026 - 12:34

score 455 · Answer 12 · 2026-03-25 12:30:36

455

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Half sphere weighted average of spherical harmonics

Published on 25 Mar 2026 - 12:30

score 75 · Answer 13 · 2026-03-25 12:33:08

75

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Conventions used with Legendre Polynomials in spherical harmonics.

Published on 25 Mar 2026 - 12:33

score 280 · Answer 14 · 2026-03-25 14:25:12

280

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Prove columns of Jacobian Matrix of $T(r,\varphi,\theta) := (r\ \cos \varphi \cos \theta ,\ r\ \sin \varphi \cos \theta ,r\ \sin \theta)$ orthogonal

Published on 25 Mar 2026 - 14:25

score 357 · Answer 15 · 2026-04-23 20:49:50

357

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How to prove that Spherical Harmonics must have integer order $m$ and degree $n$?

Published on 23 Apr 2026 - 20:49

List Question

Looking for a reference of integral involving product of four spherical harmonics

Expand $\int_{-1}^0 e^{a\cos{\theta}}J_0(b\sin{\theta})\,d\cos{\theta}$ in spherical harmonics.

Spherical harmonic expansion of a sphere

What's a good primer from linear algebra to spherical harmonics?

How can a spherical harmonic have a complex value at $\varphi =0$?

Riemann-Lebesgue Lemma for Spherical Harmonics expansion

Can an ideal ellipsoid of rotation be espressed exactly with a spherical harmonic series of a finite number of terms?

Understanding tensor product of spherical harmonics

Rotation of spherical harmonics lead out of representation space?

Real spherical harmonics for signal approximation with high degree yield erroneous result

Extending "mean of circular quantities" to a sphere of 3 or more dimensions

Half sphere weighted average of spherical harmonics

Conventions used with Legendre Polynomials in spherical harmonics.

Prove columns of Jacobian Matrix of $T(r,\varphi,\theta) := (r\ \cos \varphi \cos \theta ,\ r\ \sin \varphi \cos \theta ,r\ \sin \theta)$ orthogonal

How to prove that Spherical Harmonics must have integer order $m$ and degree $n$?

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