Journal of Integer Sequences, Vol. 10 (2007), Article 07.4.6

Some Observations on the Lah and Laguerre Transforms of Integer Sequences


Paul Barry
School of Science
Waterford Institute of Technology
Ireland

Abstract:

We study the Lah and related Laguerre transforms within the context of exponential Riordan arrays. Links to the Stirling numbers are explored. Results for finite matrices are generalized, leading to a number of useful matrix factorizations.

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(Concerned with sequences A000079 A000085 A000110 A000142 A000262 A000290 A000670 A002720 A007318 A025168 A049376 A052897 A084357 A084358 A087912 A103194 A104600 A105277 A121020 and A129695 .)

Received April 18 2007; revised version received May 1 2007. Published in Journal of Integer Sequences May 2 2007.

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