The bilateral Laguerre transform

DOI10.1016/0096-3003(81)90004-7zbMath0457.42011OpenAlexW2084600177MaRDI QIDQ1150780

W. R. Nunn, Ushio Sumita, Julian Keilson

Publication date: 1981

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(81)90004-7

zbMATH Keywords

probability densityqueuing theoryFourier convolutionbilateral Laplace transformLaguerre functionLindley stochastic process

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical methods for integral transforms (65R10) Probabilistic methods, stochastic differential equations (65C99) General integral transforms (44A05)

Related Items (11)

A general Laguerre transform and a related distance between probability measures ⋮ GI/G/1 interdeparture time and queue-length distributions via the Laguerre transform ⋮ Numerical analysis of gracefully degrading fault-tolerant computer systems: Semi-Markov and Laguerre transform approach ⋮ Significance points for some tests of uniformity on the sphere^† ⋮ On sums of independent logistic and folded logistic variants^† ⋮ The stabilization of high-order multistep schemes for the Laguerre one-way wave equation solver ⋮ The Laguerre transform of a convolution product of vector-valued functions ⋮ Generating the Laguerre expansion coefficients by solving a one-dimensional transport equation ⋮ Dynamic Performance Evaluation of Communication/Computer Systems with Highly Reliable Components ⋮ A decomposition of the beta distribution, related order and asymptotic behavior ⋮ The matrix Laguerre transform

Cites Work

• Laguerre transformation as a tool for the numerical solution of integral equations of convolution type
• On sums of independent logistic and folded logistic variants^†
• Numerical Inversion of Laplace Transforms Using Laguerre Functions
• An alternative to Wiener-Hopf methods for the study of bounded processes
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