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math.CV2012★ 1 cited
A characterization of multiplier sequences for generalized Laguerre bases
Petter Brändén, Elin Ottergren
We give a complete characterization of multiplier sequences for generalized Laguerre bases. We also apply our methods to give a short proof of the characterization of Hermite multi…
math.CV2008★ 1 cited
Lee-Yang Problems and The Geometry of Multivariate Polynomials
Julius Borcea, Petter Brändén
We describe all linear operators on spaces of multivariate polynomials preserving the property of being non-vanishing in open circular domains. This completes the multivariate gene…