4 citations · 10 across the 5 of their papers we have counts for
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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…