@book{a069fea2a042470bb7adc3b10b93dd1f,

title = "Representations for the extreme zeros of orthogonal polynomials",

abstract = "We establish some representations for the smallest and largest zeros of orthogonal polynomials in terms of the parameters in the three-terms recurrence relation. As a corollary we obtain representations for the endpoints of the true interval of orthogonality. Implications of these results for the decay parameter of a birth death process (with killing) are displayed.",

keywords = "Birth-death process, IR-64326, MSC-60J80, MSC-42C05, EWI-10994, Interval of orthogonality, Decay parameter, METIS-241876, Three-terms recurrence relation",

author = "{van Doorn}, {Erik A.} and {van Foreest}, N.D. and Zeifman, {Alexander I.}",

year = "2007",

month = aug,

language = "Undefined",

series = "Memorandum / Department of Applied Mathematics",

publisher = "University of Twente, Department of Applied Mathematics",

number = "LNCS4549/1850",

}