3 papers
math.SP2007
On Roots of Eigenpolynomials for Degenerate Exactly-Solvable Differential Operators
Tanja Bergkvist, Jan-Erik Bjork
In this paper we partially settle our conjecture from [1] (math.SP/0701143) on roots of eigenpolynomials for degenerate exactly-solvable operators. Namely, for any such operator, w…
math.SP2007
On Asymptotics of Polynomial Eigenfunctions for Exactly-Solvable Differential Operators
Tanja Bergkvist
In this paper we study the asymptotic zero distribution of eigenpolynomials for degenerate exactly-solvable operators. We present an explicit conjecture and partial results on the…
math.SP2002
On Bochner-Krall orthogonal polynomial systems
T. Bergkvist, H. Rullgard, B. Shapiro
In this paper we address the classical question going back to S. Bochner and H.L. Krall to describe all systems {p_{n}(x)} of orthogonal polynomials (OPS) which are the eigenfuncti…