Bivariate Fibonacci like \(p\)-polynomials

DOI10.1016/j.amc.2011.05.022zbMath1246.11038OpenAlexW2030904555MaRDI QIDQ555465

Alexey Stakhov, E. Gökçen Koçer, Naim Tuglu

Publication date: 22 July 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.05.022

zbMATH Keywords

Chebyshev polynomialsFibonacci polynomialsLucas polynomials

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (20)

Determinantal and permanental representations of Fibonacci type numbers and polynomials ⋮ A new family of generating functions of binary products of bivariate complex Fibonacci polynomials and Gaussian numbers ⋮ Incomplete Fibonacci and Lucas \(p\)-numbers ⋮ Generalized commutative quaternion polynomials of the Fibonacci type ⋮ On hyper complex numbers with higher order Pell numbers components ⋮ Incomplete bivariate Fibonacci and Lucas \(p\)-polynomials ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the arrowhead-Fibonacci numbers ⋮ The Fibonacci p-numbers and Pascal’s triangle ⋮ The Lucasp-triangle ⋮ Unnamed Item ⋮ Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials ⋮ New families of three-variable polynomials coupled with well-known polynomials and numbers ⋮ On the Adjacency-Jacobsthal numbers ⋮ Fibonacci and Lucas \(p\)-cubes ⋮ A class of generalized Tribonacci sequences applied to counting problems ⋮ Generalized hybrid Fibonacci and Lucas \(p\)-numbers ⋮ Fibonacci-\(p\) quaternions ⋮ The m-extension of Fibonacci and Lucas p-difference sequences

Cites Work

• On the \(m\)-extension of the Fibonacci and Lucas \(p\)-numbers
• Degree \(k\) linear recursions mod \((p)\) and number fields
• Theory of Binet formulas for Fibonacci and Lucas \(p\)-numbers
• The ``golden algebraic equations
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• Quantum mechanics and the possibility of a Cantorian space-time
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• Is quantum space a random Cantor set with a golden mean dimension at the core?
• On a new class of hyperbolic functions
• A subgroup of the group of units in the ring of arithmetic functions
• A note on bivariate and trivariate Fibonacci polynomials
• The ``golden matrices and a new kind of cryptography
• On the Fibonacci \(k\)-numbers
• Differential operators and weighted isobaric polynomials
• The generalized principle of the Golden Section and its applications in mathematics, science, and engineering
• The continuous functions for the Fibonacci and Lucas \(p\)-numbers
• Reflections on symmetric polynomials and arithmetic functions
• Binary Lucas and Fibonacci Polynomials, I
• Generalized golden sections and a new approach to the geometric definition of a number
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