Question

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

score 954 · Answer 1 · 2014-10-18 14:52:14

954

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

Published on 18 Oct 2014 - 14:52

score 140 · Answer 2 · 2026-03-25 05:07:41

140

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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 25 Mar 2026 - 5:07

score 1.9k · Answer 3 · 2014-11-03 03:48:02

1.9k

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Spherical harmonic expansion of a sphere

Published on 03 Nov 2014 - 3:48

score 1.3k · Answer 4 · 2014-11-22 21:53:15

1.3k

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

Published on 22 Nov 2014 - 21:53

score 166 · Answer 5 · 2014-11-27 10:35:29

166

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

Published on 27 Nov 2014 - 10:35

score 138 · Answer 6 · 2014-12-03 11:45:18

138

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Riemann-Lebesgue Lemma for Spherical Harmonics expansion

Published on 03 Dec 2014 - 11:45

score 64 · Answer 7 · 2019-10-12 14:16:05

64

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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 12 Oct 2019 - 14:16

score 573 · Answer 8 · 2019-10-21 23:05:01

573

Views

Understanding tensor product of spherical harmonics

Published on 21 Oct 2019 - 23:05

score 3.2k · Answer 9 · 2019-10-29 19:47:44

3.2k

Views

Rotation of spherical harmonics lead out of representation space?

Published on 29 Oct 2019 - 19:47

score 80 · Answer 10 · 2019-10-30 11:25:30

80

Views

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

Published on 30 Oct 2019 - 11:25

score 43 · Answer 11 · 2019-11-14 12:35:05

43

Views

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

Published on 14 Nov 2019 - 12:35

score 454 · Answer 12 · 2019-11-18 21:07:23

454

Views

Half sphere weighted average of spherical harmonics

Published on 18 Nov 2019 - 21:07

score 74 · Answer 13 · 2019-12-01 22:08:05

74

Views

Conventions used with Legendre Polynomials in spherical harmonics.

Published on 01 Dec 2019 - 22:08

score 279 · Answer 14 · 2020-01-17 16:17:21

279

Views

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 17 Jan 2020 - 16:17

score 354 · Answer 15 · 2026-02-23 13:27:57

354

Views

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

Published on 23 Feb 2026 - 13:27

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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