Associated Laguerre and Hermite polynomials

Author:

Askey Richard,Wimp Jet

Abstract

SynopsisExplicit orthogonality relations are found for the associated Laguerre and Hermite polynomials. One consequence is the construction of the [n − 1/n] Padé approximation to Ψ(a + 1, b; x)/Ψ(a, b; x), where Ψ(a, b; x) is the second solution to the confluent hypergeometric differential equation that does not grow rapidly at infinity.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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