On associated polynomials and decay rates for birth--death processes.

DOI10.1016/S0022-247X(02)00663-7zbMath1041.42021MaRDI QIDQ1874565

Erik A. van Doorn

Publication date: 25 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

rate of convergenceorthogonal polynomialsdecay ratebirth-death processassociated polynomialsnumerator polynomialsfirst-entrance time

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Birth-death processes and associated polynomials. ⋮ An orthogonal-polynomial approach to first-hitting times of birth-death processes ⋮ Some comments on quasi-birth-and-death processes and matrix measures ⋮ Intertwining and commutation relations for birth-death processes ⋮ Quasi-stationary distributions for birth-death processes with killing ⋮ On the α-Classification of Birth-Death and Quasi-Birth-Death Processes

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