2 papers
math.CA2022
The Stieltjes--Fekete problem and degenerate orthogonal polynomials
Marco Bertola, Eduardo Chavez-Heredia, Tamara Grava
A famous result of Stieltjes relates the zeroes of the classical orthogonal polynomials with the configurations of points on the line that minimize a suitable energy. The energy ha…
math-ph2022
Exactly solvable anharmonic oscillator, degenerate orthogonal polynomials and Painleve' II
Marco Bertola, Eduardo Chavez-Heredia, Tamara Grava
The paper addresses a conjecture of Shapiro and Tater on the similarity between two sets of points in the complex plane; on one side is the values of for which th…