4 citations · 10 across the 5 of their papers we have counts for
6 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…
Monomial to ultraspherical basis transformation and the zeros of polynomials
Matthew Chasse
We examine a result of A. Iserles and E. B. Saff, use it to prove a conjecture of S. Fisk that a linear operator which maps monomials to Legendre polynomials also preserves zeros i…
Infinite log-concavity for polynomial Pólya frequency sequences
Petter Brändén, Matthew Chasse
McNamara and Sagan conjectured that if is a Pólya frequency (PF) sequence, then so is . We prove this conjecture…
Stable regions of Turán expressions
Matthew Chasse, Lukasz Grabarek, Mirkó Visontai
Consider polynomial sequences that satisfy a first-order differential recurrence. We prove that if the recurrence is of a special form, then the Turán expressions for the sequence…
Classification theorems for operators preserving zeros in a strip
Petter Brändén, Matthew Chasse
We characterize all linear operators which preserve spaces of entire functions whose zeros lie in a closed strip. Necessary and sufficient conditions are obtained for the related p…
Discrete analogues of the Laguerre inequalities and a conjecture of I. Krasikov
George Csordas, Matthew Chasse
A conjecture of I. Krasikov is proved. Several discrete analogues of classical polynomial inequalities are derived, along with results which allow extensions to a class of transcen…