@book{2aba0b041d7846a6ab65a2a8d2191728,
title = "Associated polynomials and birth-death processes",
abstract = "We consider sequences of orthogonal polynomials with positive zeros, and pursue the question of how (partial) knowledge of the orthogonalizing measure for the {\it associated polynomials} can lead to information about the orthogonalizing measure for the original polynomials, with a view to applications in the setting of birth-death processes. In particular, we relate the supports of the two measures, and their moments of positive and negative orders. Our results indicate how the prevalence of recurrence or $\alpha$-recurrence in a birth-death process can be recognized from certain properties of an associated measure.",
keywords = "MSC-42C05, EWI-3401, IR-65768, MSC-60J80",
author = "{van Doorn}, {Erik A.}",
note = "Imported from MEMORANDA",
year = "2001",
language = "English",
series = "Memorandum / Department of Applied Mathematics",
publisher = "University of Twente",
number = "1581",
address = "Netherlands",
}