Geodesic
Constructing exponential Riordan arrays from their \(A\) and \(Z\) sequences
Journal of integer sequences, Tome 17 (2014) no. 2
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},
     year = {2014},
     volume = {17},
     number = {2},
     zbl = {1300.11023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_2_a7/}
}
TY  - JOUR
AU  - Barry,  Paul
TI  - Constructing exponential Riordan arrays from their \(A\) and \(Z\) sequences
JO  - Journal of integer sequences
PY  - 2014
VL  - 17
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JIS_2014__17_2_a7/
LA  - en
ID  - JIS_2014__17_2_a7
ER  - 
%0 Journal Article
%A Barry,  Paul
%T Constructing exponential Riordan arrays from their \(A\) and \(Z\) sequences
%J Journal of integer sequences
%D 2014
%V 17
%N 2
%U http://geodesic.mathdoc.fr/item/JIS_2014__17_2_a7/
%G en
%F JIS_2014__17_2_a7
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/