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math.CV2013★ 8 cited
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…
math.CV2013★ 3 cited
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…