Orthogonal polynomials suggested by a queueing model

DOI10.1016/S0196-8858(82)80017-1zbMath0504.60094OpenAlexW2054619492MaRDI QIDQ1836227

Theodore S. Chihara, Mourad E. H. Ismail

Publication date: 1982

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0196-8858(82)80017-1

zbMATH Keywords

orthogonal polynomialsDoorn polynomialspotential customers are discouraged by queue length

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

A class of nonsymmetric orthogonal polynomials ⋮ Compact Jacobi matrices: From Stieltjes to Krein and \(M(a,b)\) ⋮ Asymptotics of orthogonal polynomials and the numerical solution of ill-posed problems ⋮ Pollaczek polynomials and Padé approximants: Some closed-form expressions ⋮ A matrix approach for the transient solution of an M/M/1/N queue with discouraged arrivals and reneging ⋮ Birth and Death (BDP) Process Models with Applications ⋮ Ted Chihara and his work on orthogonal polynomials ⋮ Analysis of random walks using orthogonal polynomials ⋮ A queueing model and a set of orthogonal polynomials

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