On a Family of Generalized Pascal Triangles Defined by Exponential Riordan Arrays
School of Science
Waterford Institute of Technology
We introduce a family of number triangles defined by exponential
Riordan arrays, which generalize Pascal's triangle. We characterize
the row sums and central coefficients of these triangles, and define
and study a set of generalized Catalan numbers. We establish links
to the Hermite, Laguerre and Bessel polynomials, as well as links to
the Narayana and Lah numbers.
Full version: pdf,
(Concerned with sequences
Received January 16 2006;
revised version received March 27 2007.
Published in Journal of Integer Sequences March 28 2007.
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