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Summing series arising from integro-differential-difference equations

Published online by Cambridge University Press:  17 February 2009

P. Cerone  and
A. Sofo
P. Cerone
Affiliation:
Department of Computer and Mathematical Sciences, Victoria University of Technology, PO Box 14428, Melbourne City MC, VIC 8001, Australia.
A. Sofo
Affiliation:
Department of Computer and Mathematical Sciences, Victoria University of Technology, PO Box 14428, Melbourne City MC, VIC 8001, Australia.
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Abstract

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By applying Laplace transform theory to solve first-order homogeneous differential-difference equations it is conjectured that a resulting infinite sum of a series may be expressed in closed form. The technique used in obtaining a series in closed form is then applied to other examples in teletraffic theory and renewal processes.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 4 , April 2000 , pp. 473 - 486
Copyright
Copyright © Australian Mathematical Society 2000

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