Notes on special systems of orthogonal Functions (III): A System of orthogonal polynomials

Author:

Hardy G. H.

Abstract

Generalities. Suppose thatis real and L2(0, ∞), that is its Mellin transform, and that Then K(1)(x) generates a “Watson transformation”, with a “Fourier theorem”valid for every F(x) of L2(0, ∞).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference4 articles.

1. The Polynomial F n (x)

2. Notes on some points in the integral calculus (46–47);Hardy;Messenger of math.,1917

3. Some properties of a certain set of polynomials;Bateman;Tóhoku math. J.,1933

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