Tamás Forgács

activity

20162022

collaborators

3 papers

math.CO2022

The zero locus and some combinatorial properties of certain exponential Sheffer sequences

Gi-Sang Cheon, Tamás Forgács, Arnauld Mesinga Mwafise +1

We present combinatorial and analytical results concerning a Sheffer sequence with an exponential generating function of the form $G (s, z) = e^{cz s + α z^{2} + β z^{4}}$ , where $α, β, c \in…

math.CV2017

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 ${h (k^{2} + k)}_{k = 0}^{\infty}$ , where $h \in R [x]$ . We a…

math.CV2016

Sufficient conditions for a linear operator on $R [x]$ to be monotone

Leah Buck, Kelly Emmrich, Tamás Forgács

We demonstrate that being a hyperbolicity preserver does not imply monotonicity for infinite order differential operators on $R [x]$ , thereby settling a recent conjecture i…

The zero locus and some combinatorial properties of certain exponential Sheffer sequences

Polynomially Interpolated Legendre Multiplier Sequences

Sufficient conditions for a linear operator on R[x] to be monotone

Sufficient conditions for a linear operator on $R [x]$ to be monotone