Methods and Applications of Analysis

Volume 16 (2009)

Number 1

Spectral Analysis of Birth-and-Death Processes with and without Killing via Perturbation

Pages: 55 – 68

DOI: http://dx.doi.org/10.4310/MAA.2009.v16.n1.a4

Authors

Moritz Simon

Galliano Valent

Keywords

Birth-and-death processes with killing; spectral representation; Stieltjes transform; Lommel polynomials; Bessel functions; regular perturbation theory; associated Meixner polynomials

2010 Mathematics Subject Classification

Primary 33C45, 60J80. Secondary 33C10, 47A55.

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