Determinantal and permanental representations of convolved \((u, v)\)-Lucas first kind \(p\)-polynomials

DOI10.3934/MATH.2020123zbMath1484.11046OpenAlexW3008046321MaRDI QIDQ2132922

Adikanda Behera, Prasanta Kumar Ray

Publication date: 28 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020123

zbMATH Keywords

Hessenberg matrixdeterminantalpermanentalconvolved \((u, v)\)-Lucas first kind \(p\)-polynomialsLucas first kind \(p\)-numbersLucas first kind \(p\)-polynomials

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Some properties of convolved \(k\)-Fibonacci numbers
• A new algorithm for computing the inverse and the determinant of a Hessenberg matrix
• Determinantal and permanental representations of convolved Lucas polynomials
• A common generalization of convolved generalized Fibonacci and Lucas polynomials and its applications
• On the representation of \(k\)-generalized Fibonacci and Lucas numbers
• Fibonacci Determinants
• Unnamed Item

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