2 papers
math.CA2026
Symmetric products of Laguerre zeros
K. Castillo
We prove and substantially extend a conjecture of Gazeau, Josse-Michaux, and Monceau concerning the extreme positive zeros of Hermite polynomials, which arose from a finite-dimensi…
math.CA2024
On the product of the extreme zeros of Laguerre polynomials
K. Castillo
The purpose of this note is twofold: firstly, it intends to bring to light an apparently unknown property of the product of the extreme zeros of Laguerre polynomials, which in a ve…