Elsevier

Discrete Applied Mathematics

Volume 172, 31 July 2014, Pages 75-87
Discrete Applied Mathematics

Complementary Riordan arrays

https://doi.org/10.1016/j.dam.2014.03.005Get rights and content
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Abstract

Recently, the concept of the complementary array of a Riordan array (or recursive matrix) has been introduced. Here we generalize the concept and distinguish between dual and complementary arrays. We show a number of properties of these arrays, how they are computed and their relation with inversion. Finally, we use them to find explicit formulas for the elements of many recursive matrices.

Keywords

Riordan arrays
Riordan subgroups
Recursive matrices

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