The matrix Laguerre transform

DOI10.1016/0096-3003(84)90050-XzbMath0553.44002MaRDI QIDQ802103

Ushio Sumita

Publication date: 1984

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

zbMATH Keywords

Markov renewal processessemi-Markov processesmultiple convolutionsLaplacian curtainmatrix Laguerre transform

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Renewal theory (60K05) Multiple integral transforms (44A30)

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Cites Work

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• The bilateral Laguerre transform
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• The depletion time for M/G/1 systems and a related limit theorem
• Evaluation of the total time in system in a preempt/resume priority queue via a modified Lindley process
• Significance points for some tests of uniformity on the sphere^†
• On sums of independent logistic and folded logistic variants^†
• Exceptional Paper—Markov Renewal Theory: A Survey
• On the Matrix Renewal Function for Markov Renewal Processes
• A Combinatorial Method in the Theory of Queues

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