On associated polynomials and decay rates for birth-death processes

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Abstract

We consider sequences of orthogonal polynomials and pursue the question of how (partial) knowledge of the orthogonalizing measure for the {\it associated polynomials} can lead to information about the orthogonalizing measure for the original polynomials. In particular, we relate the supports of the two measures, and their moments. As an application we analyse the relation between two decay rates connected with a birth-death process.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Publication statusPublished - 2001

Publication series

NameMemorandum / Department of Applied Mathematics
PublisherDepartment of Applied Mathematics, University of Twente
No.1592
ISSN (Print)0169-2690

Fingerprint

Birth-death Process
Associated Polynomials
Decay Rate
Orthogonal Polynomials
Moment
Partial
Polynomial

Keywords

  • MSC-42C05
  • IR-65779
  • EWI-3412
  • MSC-60J80

Cite this

van Doorn, E. A. (2001). On associated polynomials and decay rates for birth-death processes. (Memorandum / Department of Applied Mathematics; No. 1592). Enschede: University of Twente, Department of Applied Mathematics.
van Doorn, Erik A. / On associated polynomials and decay rates for birth-death processes. Enschede : University of Twente, Department of Applied Mathematics, 2001. (Memorandum / Department of Applied Mathematics; 1592).
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van Doorn, EA 2001, On associated polynomials and decay rates for birth-death processes. Memorandum / Department of Applied Mathematics, no. 1592, University of Twente, Department of Applied Mathematics, Enschede.

On associated polynomials and decay rates for birth-death processes. / van Doorn, Erik A.

Enschede : University of Twente, Department of Applied Mathematics, 2001. (Memorandum / Department of Applied Mathematics; No. 1592).

Research output: Book/ReportReportOther research output

TY - BOOK

T1 - On associated polynomials and decay rates for birth-death processes

AU - van Doorn, Erik A.

N1 - Imported from MEMORANDA

PY - 2001

Y1 - 2001

N2 - We consider sequences of orthogonal polynomials and pursue the question of how (partial) knowledge of the orthogonalizing measure for the {\it associated polynomials} can lead to information about the orthogonalizing measure for the original polynomials. In particular, we relate the supports of the two measures, and their moments. As an application we analyse the relation between two decay rates connected with a birth-death process.

AB - We consider sequences of orthogonal polynomials and pursue the question of how (partial) knowledge of the orthogonalizing measure for the {\it associated polynomials} can lead to information about the orthogonalizing measure for the original polynomials. In particular, we relate the supports of the two measures, and their moments. As an application we analyse the relation between two decay rates connected with a birth-death process.

KW - MSC-42C05

KW - IR-65779

KW - EWI-3412

KW - MSC-60J80

M3 - Report

T3 - Memorandum / Department of Applied Mathematics

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

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -

van Doorn EA. On associated polynomials and decay rates for birth-death processes. Enschede: University of Twente, Department of Applied Mathematics, 2001. (Memorandum / Department of Applied Mathematics; 1592).