A matrix approach to the binomial theorem

DOI10.1007/s11253-013-0752-3zbMath1278.15034OpenAlexW1979154502MaRDI QIDQ362494

Mohammad Hasan, M. Dambrine

Publication date: 22 August 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/165411

zbMATH Keywords

combinatorial identitiesmatrix factorizationbinomial theoremPascal matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Combinatorial identities, bijective combinatorics (05A19) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Cites Work

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• The Lucas matrix and some combinatorial identities
• Identities via Bell matrix and Fibonacci matrix
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• Some combinatorial identities via Fibonacci numbers
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• On a connection between the Pascal, Vandermonde and Stirling matrices. II.
• Factorial Stirling matrix and related combinatorial sequences
• A factorization of the symmetric Pascal matrix involving the Fibonacci matrix
• Bernoulli matrix and its algebraic properties
• Pascal's Matrices
• Stirling matrix via Pascal matrix
• The linear algebra of the generalized Pascal matrix

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