3 papers
math.CA2025
Differential equations for a class of semiclassical orthogonal polynomials on the unit circle
Cleonice F. Bracciali, Karina S. Rampazzi, Luana L. Silva Ribeiro
We consider semiclassical orthogonal polynomials on the unit circle associated with a weight function that satisfy a Pearson-type differential equation involving two polynomials of…
math.CA2022
Complementary Romanovski-Routh polynomials and their zeros
Luana L. Silva Ribeiro, Alagacone Sri Ranga, Yen Chi Lun
The efficacy of numerical methods like integral estimates via Gaussian quadrature formulas depends on the localization of the zeros of the associated family of orthogonal polynomia…
math.CA2018
Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions
A. Martínez-Finkelshtein, L. L. Silva Ribeiro, A. Sri Ranga +1
We consider properties and applications of a sequence of polynomials known as complementary Romanovski-Routh polynomials (CRR polynomials for short). These polynomials, which follo…