145 citations · 843 across the 63 of their papers we have counts for
4 papers · 2 filters
Pade and Hermite-Pade approximation and orthogonality
Walter Van Assche
We give a short introduction to Pade approximation (rational approximation to a function with close contact at one point) and to Hermite-Pade approximation (simultaneous rational a…
Rakhmanov's theorem for orthogonal matrix polynomials on the unit circle
Walter Van Assche
Rakhmanov's theorem for orthogonal polynomials on the unit circle gives a sufficient condition on the orthogonality measure for orthogonal polynomials on the unit circle, in order…
Irrationality of and
Kelly Postelmans, Walter Van Assche
In this paper we show how one can obtain simultaneous rational approximants for and with a common denominator by means of Hermite-Pade approximation using multipl…
Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials
Walter Van Assche
We give four examples of families of orthogonal polynomials for which the coefficients in the recurrence relation satisfy a discrete Painlevé equation. The first example deals with…