57 citations · 275 across the 73 of their papers we have counts for
Showing 2008Show all
3 papers · 1 filter
math-ph2008★ 38 cited
Algebro-gemetric aspects of Heine-Stieltjes theory
Boris Shapiro
The goal of this paper is to develop a Heine-Stieltjes theory for univariate linear differential operators of higher order. Namely, for a given given operator T=\sum_i Q_i(z)d^i/dz…
math.CA2008
Narayana numbers and Schur-Szego composition
Vladimir Kostov, Boris Shapiro
In the present paper we find a new interpretation of Narayana polynomials N_n(x) which are the generating polynomials for the Narayana numbers N_{n,k} counting Dyck paths of length…
math.CA2008★ 3 cited
Preserving positive polynomials and beyond
Julius Borcea, Alexander Guterman, Boris Shapiro
Following the classical approach of Pólya-Schur theory we initiate in this paper the study of linear operators acting on and preserving either the set of positive u…