Production Matrices and Riordan Arrays
By Emeric Deutsch, Luca S. Ferrari, Simone Rinaldi. 2007
113 citations recorded by the source corpus.
We translate the concept of succession rule and the ECO method into matrix notation, introducing the concept of production matrix. This allows us to combine our method with other enumeration techniques using matrices, such as the method of Riordan matrices. Finally we treat the case of rational production matrices, i.e., those leading to rational generating functions.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/54c57271eb791fdc91ed699acee5b31428193c6a
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In Algebra and Number Theory
In Computational Theory and Mathematics
In Discrete Mathematics and Combinatorics
Citations in the corpus
- Riordan group involutions (2008, background): “It was pointed out by the referee that the following result also can be found in [6].”
- Riordan arrays, orthogonal polynomials as moments, and Hankel transforms (2011, methodology): “The concept of a production matrix [8, 9, 10] is a general one, but for this work we find it convenient to review it in the context of Riordan arrays.”