Determinantal and permanental representations of Fibonacci type numbers and polynomials

DOI10.1216/RMJ-2016-46-1-227zbMath1415.11031MaRDI QIDQ289715

Kenan Kaygisiz, Adem Şahın

Publication date: 31 May 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1464035860

zbMATH Keywords

Hessenberg matrixdeterminantal representationsgeneralized Fibonacci polynomialspermanental representations

Mathematics Subject Classification ID

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

Related Items (3)

Recursive and combinational formulas for permanents of general k-tridiagonal Toeplitz matrices ⋮ On the Chebyshev polynomials and some of their new identities ⋮ Some identities involving Fibonacci polynomials and Fibonacci numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The convolution ring of arithmetic functions and symmetric polynomials
• Determinants and permanents of Hessenberg matrices and generalized Lucas polynomials
• Hessenberg matrices and the Pell and Perrin numbers
• Bivariate Fibonacci like \(p\)-polynomials
• On the Fibonacci and Lucas \(p\)-numbers, their sums, families of bipartite graphs and permanents of certain matrices
• Degree \(k\) linear recursions mod \((p)\) and number fields
• A correspondence between the isobaric ring and multiplicative arithmetic functions
• A new method to compute the terms of generalized order-\(k\) Fibonacci numbers
• \(k\)-Lucas numbers and associated bipartite graphs
• A subgroup of the group of units in the ring of arithmetic functions
• The generalized Binet formula, representation and sums of the generalized order-\(k\) Pell numbers
• Differential operators and weighted isobaric polynomials
• Reflections on symmetric polynomials and arithmetic functions
• On the representation of \(k\)-generalized Fibonacci and Lucas numbers
• Generalized Fibonacci Numbers and Associated Matrices
• Fibonacci Determinants

This page was built for publication: Determinantal and permanental representations of Fibonacci type numbers and polynomials