9 citations · 18 across the 4 of their papers we have counts for
5 papers
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…
Polynomials with rational generating functions and real zeros
Tamas Forgacs, Khang Tran
This paper investigates the location of the zeros of a sequence of polynomials generated by a rational function with a binomial-type denominator. We show that every member of a two…
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…
On Legendre Multiplier Sequences
Kelly Blakeman, Emily Davis, Tamas Forgacs +1
In this paper we give a complete characterization of linear, quadratic, and geometric Legendre multiplier sequences. We also prove that all Legendre multiplier sequences must be He…
Interpolation and Sampling Hypersurfaces for weighted Bergman spaces on the unit ball
Tamas Forgacs, Dror Varolin
We present sufficient conditions on a smooth uniformly flat hypersurface W in the unit ball to be an interpolation hypersurface or a sampling hypersurface for generalized Bergman s…