Rodrigues formula

A Rodrigues formula constructs an orthogonal polynomial by differentiating a weight multiplied by a power. For generalized Laguerre polynomials,

L_{n}^{(α)} (x) = \frac{x ^{- α} e ^{x}}{n !} \frac{d ^{n}}{d x ^{n}} (e^{- x} x^{n + α}) .

 Ancestors (10)