The cyclic groups generated by Catalan matrices

DOI10.35834/2021/3301001OpenAlexW3169582704MaRDI QIDQ2235167

Phichet Jitjankarn, S. Wananiyakul

Publication date: 20 October 2021

Published in: Missouri Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.35834/2021/3301001

zbMATH Keywords

cyclic groupCatalan matrix

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Elementary number theory (11A99)

Cites Work

• Unnamed Item
• Some identities on Catalan numbers and hypergeometric functions via Catalan matrix power
• Catalan matrix and related combinatorial identities
• Ballot matrix as Catalan matrix power and related identities
• The cyclic groups via the Pascal matrices and the generalized Pascal matrices
• Further identities on Catalan numbers
• Pascal's Matrices
• The linear algebra of the generalized Pascal matrix
• Inverting linear combinations of identity and generalized Catalan matrices

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