Some cubic birth and death processes and their related orthogonal polynomials

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dc.creatorGilewicz, Jacek
dc.creatorLeopold, Elie
dc.creatorRuffing, Andreas
dc.creatorValent, Galliano
dc.date2005-11-28
dc.date.accessioned2026-07-07T06:50:34Z
dc.date.available2026-07-07T06:50:34Z
dc.descriptionThe orthogonal polynomials with recurrence relation \[(\la\_n+μ\_n-z) F\_n(z)=μ\_{n+1} F\_{n+1}(z)+\la\_{n-1} F\_{n-1}(z)\] with two kinds of cubic transition rates $\la\_n$ and $μ\_n,$ corresponding to indeterminate Stieltjes moment problems, are analyzed. We derive generating functions for these two classes of polynomials, which enable us to compute their Nevanlinna matrices. We discuss the asymptotics of the Nevanlinna matrices in the complex plane.
dc.descriptionlatex2e, 17 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0511089
dc.identifierhttp://arxiv.org/abs/math-ph/0511089
dc.identifierConstructive Approximation 24 (2006) 71-89
dc.identifierdoi:10.1007/s00365-005-0604-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104704
dc.subjectMathematical Physics
dc.titleSome cubic birth and death processes and their related orthogonal polynomials
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