A new extension of generalized Pascal-type matrix and their representations via Riordan matrix

DOI10.1007/S40590-024-00609-4MaRDI QIDQ6500234

María José Ortega, Alejandro Urieles, William Ramírez, Unnamed Author, Mumtaz Riyasat

Publication date: 10 May 2024

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• The Lucas matrix and some combinatorial identities
• A generalization of Fibonacci and Lucas matrices
• The Riordan group
• The linear algebra of the Pascal matrix
• An extension of the generalized Pascal matrix and its algebraic properties
• Certain properties of the Laguerre-Sheffer polynomials
• A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays\(^\star \)
• THE GENERALIZED PASCAL MATRIX VIA THE GENERALIZED FIBONACCI MATRIX AND THE GENERALIZED PELL MATRIX
• Pascal's Matrices
• A Riordan array approach to Apostol type-Sheffer sequences
• The linear algebra of the generalized Pascal matrix

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