4 papers · 1 filter
Global Phase Portrait and Large Degree Asymptotics for the Kissing Polynomials
Ahmad Barhoumi, Andrew F. Celsus, Alfredo Deaño
We study a family of monic orthogonal polynomials which are orthogonal with respect to the varying, complex valued weight function, , over the interval , where $…
Ladder relations for a class of matrix valued orthogonal polynomials
Alfredo Deaño, Bruno Eijsvoogel, Pablo Román
Using the theory introduced by Casper and Yakimov, we investigate the structure of algebras of differential and difference operators acting on matrix valued orthogonal polynomials…
Large Asymptotics for Special Function Solutions of Painlevé II in the Complex Plane
Alfredo Deaño
In this paper we obtain large asymptotic expansions in the complex plane for the tau function corresponding to special function solutions of the Painlevé II differential equati…
Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
Alfredo Deaño, Edmundo J. Huertas, Pablo Román
This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure: \[ \frac{1}{x-c}x^{α}e^{-x}dx+Nδ(x-…