Birth and death processes with absorption

Spectral measures and transition probabilities of birth and death processes with λ0=μ0=0 are obtained as limite when λ0→0+ of the corresponding quantities. In particular the case of finite population is discussed in full detail. Pure birth and death processes are used to derive an inequality for Dir...

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Main Authors:	Mourad E. H. Ismail, Jean Letessier, Galliano Valent
Format:	Article
Language:	English
Published:	Hindawi Limited 1992-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	Markov process and inequality for Dirichlet polynomials.
Online Access:	http://dx.doi.org/10.1155/S0161171292000632

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spelling	doaj-c6d4fe5d270a4362b07ca7e6aae3f9bb2020-11-24T20:58:05ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115346948010.1155/S0161171292000632Birth and death processes with absorptionMourad E. H. Ismail0Jean Letessier1Galliano Valent2University of South Florida, Department of Mathematics, Tampa, FL 33620, USALaboratoire de Physique Théorique et Hautes Energies, Unité associée au CNRS UA 280, Université Paris 7, FranceLaboratoire de Physique Théorique et Hautes Energies, Unité associée au CNRS UA 280, Université Paris 7, FranceSpectral measures and transition probabilities of birth and death processes with λ0=μ0=0 are obtained as limite when λ0→0+ of the corresponding quantities. In particular the case of finite population is discussed in full detail. Pure birth and death processes are used to derive an inequality for Dirichlet polynomials.http://dx.doi.org/10.1155/S0161171292000632Markov processand inequality for Dirichlet polynomials.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mourad E. H. Ismail Jean Letessier Galliano Valent
spellingShingle	Mourad E. H. Ismail Jean Letessier Galliano Valent Birth and death processes with absorption International Journal of Mathematics and Mathematical Sciences Markov process and inequality for Dirichlet polynomials.
author_facet	Mourad E. H. Ismail Jean Letessier Galliano Valent
author_sort	Mourad E. H. Ismail
title	Birth and death processes with absorption
title_short	Birth and death processes with absorption
title_full	Birth and death processes with absorption
title_fullStr	Birth and death processes with absorption
title_full_unstemmed	Birth and death processes with absorption
title_sort	birth and death processes with absorption
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1992-01-01
description	Spectral measures and transition probabilities of birth and death processes with λ0=μ0=0 are obtained as limite when λ0→0+ of the corresponding quantities. In particular the case of finite population is discussed in full detail. Pure birth and death processes are used to derive an inequality for Dirichlet polynomials.
topic	Markov process and inequality for Dirichlet polynomials.
url	http://dx.doi.org/10.1155/S0161171292000632
work_keys_str_mv	AT mouradehismail birthanddeathprocesseswithabsorption AT jeanletessier birthanddeathprocesseswithabsorption AT gallianovalent birthanddeathprocesseswithabsorption
_version_	1716786542856372224

Birth and death processes with absorption

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