A-sequences, Z-sequence, and B-sequences of Riordan Matrices

2019/09/05 by Tian-Xiao He, He, Tian-Xiao
Biochemistry, Genetics and Molecular Biology · Materials Science · Mathematics · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Proteoglycans and glycosaminoglycans research #Supramolecular Self-Assembly in Materials

paper · pdf · doi:10.48550/arxiv.1909.02639

openalex publication_date 2019/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We defined two type B-sequences of Riordan arrays and present the A-sequence characterization and Z-sequence characterization of the Riordan matrices with two type B-sequences. The subgroups characterized by A-sequences and Z-sequences are studied. The application of the sequence characterization to the RNA type matrices is discussed. Finally, we investigate the A-, Z-, and B-sequences of the Pascal like Riordan matrices.

Citations

• The Riordan group
• B-expansion of pseudo-involution in the Riordan group

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• The Multiple Riordan Group and the Multiple Riordan Semigroup
• Generalized Riordan arrays and zero generalized Pascal matrices
• Sequence Characterization of Multiple Almost-Riordan Arrays and Their Compressions
• The Vertical Recursive Relation of Riordan Arrays and Their Matrix Representation