Abstract
The Laguerre transform, described in detail elsewhere [A] [B], is a novel tool for mechanizing numerically the operations of convolution, differentiation, integration and polynomial multiplication required for applied probability evaluation.
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References
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Endnotes
† In general, the expansion converges in the L2-sense. Throughout this paper we consider functions f(x) with (f† n) ε ℓ1 so that point-wise convergence is guaranteed. For sufficient conditions for f(x) to have (f† n) ε ℓ1, see, e.g., [A], [B] and R. V. Churchill, “Operational Mathematics”, p. 452.
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Keilson, J., Sumita, U. (1982). Waiting Time Distribution Response to Traffic Surges Via the Laguerre Transform. In: Disney, R.L., Ott, T.J. (eds) Applied Probability— Computer Science: The Interface. Progress in Computer Science, vol 3. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-5798-1_6
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DOI: https://doi.org/10.1007/978-1-4612-5798-1_6
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