Weighted sums of orthogonal polynomials related to birth-death processes with killing

Abstract

We consider sequences of orthogonal polynomials arising in the analysis of birth-death processes with killing. Motivated by problems in this stochastic setting we discuss criteria for convergence of certain weighted sums of the polynomials.
Original languageUndefined
Pages (from-to)401-412
Number of pages12
JournalAdvances in dynamical systems and applications
Volume8
Issue number2
StatePublished - 2013

Fingerprint

Birth-death process
Weighted sums
Orthogonal polynomials
Polynomial

Keywords

  • EWI-24338
  • MSC-60J80
  • MSC-42C05
  • Birth-death process with killing
  • Orthogonal polynomials
  • METIS-302659
  • IR-89232
  • Quasi-stationary distribution

Cite this

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title = "Weighted sums of orthogonal polynomials related to birth-death processes with killing",
abstract = "We consider sequences of orthogonal polynomials arising in the analysis of birth-death processes with killing. Motivated by problems in this stochastic setting we discuss criteria for convergence of certain weighted sums of the polynomials.",
keywords = "EWI-24338, MSC-60J80, MSC-42C05, Birth-death process with killing, Orthogonal polynomials, METIS-302659, IR-89232, Quasi-stationary distribution",
author = "{van Doorn}, {Erik A.}",
note = "eemcs-eprint-24338",
year = "2013",
volume = "8",
pages = "401--412",
journal = "Advances in dynamical systems and applications",
issn = "0973-5321",
publisher = "Research India Publications",
number = "2",

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T1 - Weighted sums of orthogonal polynomials related to birth-death processes with killing

AU - van Doorn,Erik A.

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PY - 2013

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N2 - We consider sequences of orthogonal polynomials arising in the analysis of birth-death processes with killing. Motivated by problems in this stochastic setting we discuss criteria for convergence of certain weighted sums of the polynomials.

AB - We consider sequences of orthogonal polynomials arising in the analysis of birth-death processes with killing. Motivated by problems in this stochastic setting we discuss criteria for convergence of certain weighted sums of the polynomials.

KW - EWI-24338

KW - MSC-60J80

KW - MSC-42C05

KW - Birth-death process with killing

KW - Orthogonal polynomials

KW - METIS-302659

KW - IR-89232

KW - Quasi-stationary distribution

M3 - Article

VL - 8

SP - 401

EP - 412

JO - Advances in dynamical systems and applications

T2 - Advances in dynamical systems and applications

JF - Advances in dynamical systems and applications

SN - 0973-5321

IS - 2

ER -