Orthogonal Polynomials with Orthogonal Derivatives

Authors

M. S. Webster, University of Nebraska - Lincoln

Document Type

Article

Date of this Version

1938

Comments

Published in Bull. Amer. Math. Soc. 44 (1938) Part 1:880-888. Used by permission.

Abstract

We are concerned with the following assertion:
THEOREM. If {φ_n(x)} and { φ_n’(x)} are orthogonal systems of polynomials, then {φ_n(x)} may be reduced to the classical polynomials of Jacobi, Laguerre, or Hermite by means of a linear transformation on x.