DocumentCode
1052767
Title
On discrete Pascal transform, Poisson sequence and Laguerre polynomials
Author
Goodman, T.J. ; Aburdene, M.F.
Author_Institution
Lockheed Martin Syst. Integration, Owego
Volume
43
Issue
14
fYear
2007
Abstract
The discrete Pascal transform has been recently introduced. It provides an interesting and useful technique for obtaining closed-form expressions for certain combinatorial sums involving binomial coefficients. It is demonstrated that the discrete Pascal transform of a Poisson sequence leads to the Laguerre polynomials.
Keywords
Poisson equation; binomial distribution; polynomials; stochastic processes; Laguerre polynomials; Poisson sequence; binomial coefficients; closed-form expressions; discrete Pascal transform;
fLanguage
English
Journal_Title
Electronics Letters
Publisher
iet
ISSN
0013-5194
Type
jour
DOI
10.1049/el:20071116
Filename
4271365
Link To Document