A class of non-symmetric band determinants with the Gaussianq-binomial coefficients

DOI10.2989/16073606.2017.1306596zbMath1422.15013OpenAlexW2606943579MaRDI QIDQ5236102

Talha Arıkan, Emrah Kılıç

Publication date: 15 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2017.1306596

zbMATH Keywords

decompositioninverse matrixdeterminantunimodalityZeilberger's algorithm\(q\)-binomial coefficients

Mathematics Subject Classification ID

Factorization of matrices (15A23) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Determinants, permanents, traces, other special matrix functions (15A15) Matrices of integers (15B36)

Related Items (5)

Some classes of tetradiagonal determinants via certain polynomial families ⋮ Harmony of asymmetric variants of the Filbert and Lilbert matrices in \(q\)-form ⋮ Preserving log-concavity for p,q-binomial coefficient ⋮ A class of symmetric and non-symmetric band matrices via binomial coefficients ⋮ Unnamed Item

Uses Software

• qZeil

Cites Work

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• Formulae related to the \(q\)-Dixon formula with applications to Fibonomial sums
• The inverse of banded matrices
• Unimodal rays in the regular and generalized Pascal pyramids
• On the inverses of general tridiagonal matrices
• The generalized Fibonomial matrix
• Inverses for a class of banded matrices and applications to piecewise cubic approximation
• Analytic methods applied to a sequence of binomial coefficients
• Explicit formula for the inverse of a tridiagonal matrix by backward continued fractions
• Asymmetric generalizations of the filbert matrix and variants
• Pascal Matrices
• Theq-Pilbert matrix
• Some Properties of a Class of Band Matrices

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