Sonine polynomial

Solutions to the associated Laguerre differential equation with ν!=0 and k an integer are called associated Laguerre polynomials L_n^k(x) or, in older literature, Sonine polynomials. Associated Laguerre polynomials are implemented in the Wolfram Language as LaguerreL[n, k, x]. In terms of the unassociated Laguerre polynomials, L_n(x) = L_n^0(x).

confluent hypergeometric function of the first kind | Laguerre polynomial | Whittaker function