 Orthogonality of Legendre polynomials

ID: orthogonality-of-legendre-polynomials

Codex  0 Created 2026-09-28 Updated 2026-10-14

The Legendre polynomials are orthogonal on

[- 1, 1]

with unit weight:

\int_{- 1}^{1} P_{ℓ} (x) P_{m} (x) d x = \frac{2}{2 ℓ + 1} δ_{ℓ m} .

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