Spectral analysis of birth-and-death processes with and without killing via perturbation

DOI10.4310/MAA.2009.v16.n1.a4zbMath1180.33010MaRDI QIDQ1043675

Moritz Simon, Galliano Valent

Publication date: 9 December 2009

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

Full work available at URL: https://projecteuclid.org/euclid.maa/1255958151

zbMATH Keywords

Stieltjes transformspectral representationBessel functionsassociated Meixner polynomialsLommel polynomialsregular perturbation theorybirth-and-death processes with killing

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Perturbation theory of linear operators (47A55) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

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