On the \(m\)-extension of the Fibonacci and Lucas \(p\)-numbers

DOI10.1016/j.chaos.2007.09.071zbMath1198.11016OpenAlexW2074354445MaRDI QIDQ601374

E. Gökçen Koçer, Alexey Stakhov, Naim Tuglu

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.09.071

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (21)

The spectral norms of \(g\)-circulant matrices with classical Fibonacci and Lucas numbers entries ⋮ CODING THEORY ON h(x) FIBONACCI p-NUMBERS POLYNOMIALS ⋮ Norms and spread of the Fibonacci and Lucas RSFMLR circulant matrices ⋮ On the spectral norms of \(r\)-circulant matrices with the biperiodic Fibonacci and Lucas numbers ⋮ High rates of Fibonacci polynomials coding theory ⋮ The Adjacency-Jacobsthal-Hurwitz type numbers ⋮ On \(\delta -\beta \)-continuous functions ⋮ On the characteristic polynomial of \((k,p)\)-Fibonacci sequence ⋮ On special spacelike hybrid numbers with Fibonacci divisor number components ⋮ An application of the \(t\)-extension of the \(p\)-Fibonacci Pascal matrix in coding theory ⋮ On hyper complex numbers with higher order Pell numbers components ⋮ Unnamed Item ⋮ The identical estimates of spectral norms for circulant matrices with binomial coefficients combined with Fibonacci numbers and Lucas numbers entries ⋮ Factorization of the $t$-extension of the $p$-Fibonacci and the Pascal matrices ⋮ Limit of ratio of consecutive terms for general order-\(k\) linear homogeneous recurrences with constant coefficients ⋮ Bivariate Fibonacci like \(p\)-polynomials ⋮ The Fibonacci p-numbers and Pascal’s triangle ⋮ CODING THEORY ON THE (m, t)-EXTENSION OF THE FIBONACCI p-NUMBERS ⋮ A class of generalized Tribonacci sequences applied to counting problems ⋮ Generalized hybrid Fibonacci and Lucas \(p\)-numbers ⋮ The m-extension of Fibonacci and Lucas p-difference sequences

Cites Work

• Fundamentals of a new kind of mathematics based on the golden section
• Theory of Binet formulas for Fibonacci and Lucas \(p\)-numbers
• The ``golden algebraic equations
• The \(k\)-Fibonacci hyperbolic functions
• Quantum mechanics and the possibility of a Cantorian space-time
• On dimensions of Cantor set related systems
• Is quantum space a random Cantor set with a golden mean dimension at the core?
• Complex vacuum fluctuation as a chaotic ``limit set of any Kleinian group transformation and the mass spectrum of high energy particle physics via spontaneous self-organization.
• On a new class of hyperbolic functions
• Fredholm operators and the wave-particle duality in Cantorian space
• The ``golden hyperbolic models of Universe
• On the Fibonacci \(k\)-numbers
• The generalized principle of the Golden Section and its applications in mathematics, science, and engineering
• The Golden Shofar
• The continuous functions for the Fibonacci and Lucas \(p\)-numbers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the \(m\)-extension of the Fibonacci and Lucas \(p\)-numbers