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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…