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)

turns multiplication by

x

into coupling between adjacent Legendre multipoles.

 Ancestors (10)

 Incoming links (2)

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 312 / 3 / b / ii / Solution
Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 312 / 3 / ii / Solution

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