8 citations · 11 across the 5 of their papers we have counts for
7 papers
Determinants of Seidel Tournament Matrices
Sarah Klanderman, MurphyKate Montee, Andrzej Piotrowski +2
The Seidel matrix of a tournament on players is an skew-symmetric matrix with entries in that encapsulates the outcomes of the games in the given tou…
Parity of Polynomial Multiplier Sequences for the Chebyshev Basis
Andrzej Piotrowski, Joshua Shterenberg
We demonstrate that if and is not an even function, then is not a multiplier sequence for the basis of Chebyshev polynomials of th…
On Zero-Sector Reducing Operators
David A. Cardon, Tamás Forgács, Andrzej Piotrowski +2
We prove a Jensen-disc type theorem for polynomials having all their zeros in a sector of the complex plane. This result is then used to prove the existence of…
Polynomially Interpolated Legendre Multiplier Sequences
Matthew Chasse, Tamás Forgács, Andrzej Piotrowski
We prove that every multiplier sequence for the Legendre basis which can be interpolated by a polynomial has the form , where . We a…
Hermite multiplier sequences and their associated operators
Tamás Forgács, Andrzej Piotrowski
We provide an explicit formula for the coefficient polynomials of a Hermite diagonal differential operator. The analysis of the zeros of these coefficient polynomials yields the ch…
Non-Real Zero Decreasing Operators Related to Orthogonal Polynomials
Andre Bunton, Nicole Jacobs, Samantha Jenkins +3
Laguerre's theorem regarding the number of non-real zeros of a polynomial and its image under certain linear operators is generalized. This generalization is then used to (1) exhib…
Multiplier Sequences for Generalized Laguerre Bases
Tamás Forgács, Andrzej Piotrowski
In this paper we present a complete characterization of geometric and linear multiplier sequences for generalized Laguerre bases. In addition, we give a partial characterization of…