Geodesic
Constructing exponential Riordan arrays from their $A$ and $Z$ sequences
Journal of integer sequences, Tome 17 (2014) no. 2.

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

Summary: We show how to construct an exponential Riordan array from a knowledge of its $A$ and $Z$ sequences. The effect of pre- and post-multiplication by the binomial matrix on the $A$ and $Z$ sequences is examined, as well as the effect of scaling the $A$ and $Z$ sequences. Examples are given, including a discussion of related Sheffer orthogonal polynomials.
Keywords: exponential Riordan array, A sequence, Z sequence, production matrix, orthogonal polynomial 
@article{JIS_2014__17_2_a7,
     author = {Barry, Paul},
     title = {Constructing exponential {Riordan} arrays from their $A$ and $Z$ sequences},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_2_a7/}
}
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Barry, Paul. Constructing exponential Riordan arrays from their $A$ and $Z$ sequences. Journal of integer sequences, Tome 17 (2014) no. 2. http://geodesic.mathdoc.fr/item/JIS_2014__17_2_a7/