 Three-term recurrence for monic orthogonal polynomials

ID: three-term-recurrence-for-monic-orthogonal-polynomials

p_{n + 1} (x) = (x - α_{n}) p_{n} (x) - β_{n} p_{n - 1} (x),

where

α_{n} = \frac{⟨ x p _{n} , p _{n} ⟩}{⟨ p _{n} , p _{n} ⟩}, β_{n} = \frac{⟨ p _{n} , p _{n} ⟩}{⟨ p _{n - 1} , p _{n - 1} ⟩} .

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