JuliaApproximation / JuliaApproximation/MultivariateOrthogonalPolynomials.jl

New Operator: AngularMomentum

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Dominant language
Julia
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20
Forks
6
Avg merge
2d 17h
Merged PRs (30d)
1

Description

This one is just about as fundamental as the Laplacian. For complex spherical harmonics and Zernike polynomials, it's diagonal. Other multivariate OPs may have nontrivial representations. In polar coordinates, it's ∂/∂θ; in spherical coordinates, it's ∂/∂φ. Or in both systems, it's x ∂/∂y - y ∂/∂x. Since it's spectrum "separates orders," it is complementary to the Laplacian which "separates degrees."

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Research direction

No files, tests, or entry points are named. Start by locating the existing Laplacian and other differential-operator implementations for multivariate orthogonal polynomials, then determine how an AngularMomentum operator would represent ∂/∂θ, ∂/∂φ, or x ∂/∂y - y ∂/∂x across supported domains; done means the operator is implemented and covered for the stated polynomial families.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
backend
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
30/100

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