The Laguerre polynomials preserve real-rootedness

Abstract

The linear transformation that sends $x^n$ to the n'th Laguerre polynomial preserves real-rootedness.

to appear, American Mathematical Monthly

Cited by in corpus (2)

• The monic Laguerre polynomials preserve real-rootedness
• Real-Root Preserving Differential Operator Representations of Orthogonal Polynomials