Spectral properties of birth-death polynomials

Rok vydání:	2014
Předmět:	METIS-304050 Orthogonal polynomials Spectrum Orthogonalizing measure EWI-24642 IR-90385 Stieltjes moment problem Birth-death process
Popis:	We consider sequences of polynomials that are defined by a three-terms recurrence relation and orthogonal with respect to a positive measure on the nonnegative axis. By a famous result of Karlin and McGregor such sequences are instrumental in the analysis of birth-death processes. Inspired by problems and results in this stochastic setting we present necessary and sufficient conditions in terms of the parameters in the recurrence relation for the smallest or second smallest point in the support of the orthogonalizing measure to be larger than zero, and for the support to be discrete with no finite limit point.
Databáze:	OpenAIRE
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