 Legendre polynomial recurrence relation

ID: legendre-polynomial-recurrence-relation

The three-term recurrence

(2 ℓ + 1) x P_{ℓ} (x) = (ℓ + 1) P_{ℓ + 1} (x) + ℓ P_{ℓ - 1} (x)

x

into coupling between adjacent Legendre multipoles.

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