A/Z characterization of Riordan arrays
نویسندگان
چکیده
In the realm of the Riordan group, we consider the characterization of Riordan arrays by means of the Aand Z-sequences. It corresponds to a horizontal construction of a Riordan array, whereas the traditional approach is through column generating functions. We show how the Aand Z-sequences of the product of two Riordan arrays are derived from those of the two factors; similar results are obtained for the inverse. Finally, we give the characterizations relative to the some subgroups of the Riordan group, in particular of the hitting-time subgroup.
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