Three determinant evaluations

DOI10.1007/s40840-020-01005-7zbMath1468.15003OpenAlexW3090431665MaRDI QIDQ2021617

Emrah Kılıç, Chu, Wenchang

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-01005-7

zbMATH Keywords

decompositiondeterminantbinomial coefficientfactorial

Mathematics Subject Classification ID

Factorization of matrices (15A23) Factorials, binomial coefficients, combinatorial functions (05A10) Determinants, permanents, traces, other special matrix functions (15A15) Matrices, determinants in number theory (11C20)

Uses Software

• DODGSON
• Shapiro

Cites Work

• Unnamed Item
• Binomial determinant evaluations
• Finite differences and determinant identities
• Binomial determinants, paths, and hook length formulae
• Advanced determinant calculus
• Binomial convolutions and determinant identities
• Determinant identities
• Integrals involving Rudin-Shapiro polynomials and sketch of a proof of Saffari's conjecture
• A wide class of Combinatorial matrices related with Reciprocal Pascal and Super Catalan matrices
• Evaluation of a family of binomial determinants
• Evaluation of Hessenberg determinants via generating function approach
• The matrix of super Patalan numbers and its factorizations
• The Super Patalan Numbers
• On some determinants with combinatorial numbers.
• Determinants through the looking glass

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