Geodesic
On a family of generalized Pascal triangles defined by exponential Riordan arrays
Journal of integer sequences, Tome 10 (2007) no. 3.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 11B83, 05A19, 33C45, 11B37, 11B65
Keywords: Pascal's triangle, narayana numbers, Catalan numbers, lah numbers, Hermite polynomials, Laguerre polynomials, Bessel polynomials 
@article{JIS_2007__10_3_a2,
     author = {Barry, Paul},
     title = {On a family of generalized {Pascal} triangles defined by exponential {Riordan} arrays},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {10},
     number = {3},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_3_a2/}
}
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Barry, Paul. On a family of generalized Pascal triangles defined by exponential Riordan arrays. Journal of integer sequences, Tome 10 (2007) no. 3. http://geodesic.mathdoc.fr/item/JIS_2007__10_3_a2/