Results 111 to 120 of about 7,195 (140)

\(d\)-Fibonacci and \(d\)-Lucas polynomials

2021
Summary: Riordan arrays give us an intuitive method of solving combinatorial problems. They also help to apprehend number patterns and to prove many theorems. In this paper, we consider the Pascal matrix, define a new generalization of Fibonacci and Lucas polynomials called \(d\)-Fibonacci and \(d\)-Lucas polynomials (respectively) and provide their ...
Sadaoui, Boualem, Krelifa, Ali
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Fibonacci and Lucas polynomials

Mathematical Proceedings of the Cambridge Philosophical Society, 1981
The Fibonacci and Lucas polynomials Fn(z) and Ln(z) are denned. These reduce to the familiar Fibonacci and Lucas numbers when z = 1. The polynomials are shown to satisfy a second order linear difference equation. Generating functions are derived, and also various simple identities, and relations with hypergeometric functions, Gegenbauer and Chebyshev ...
Doman, B. G. S., Williams, J. K.
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Triangular numbers and generalized fibonacci polynomial

Mathematica Slovaca, 2022
AbstractIn the present paper, we study triangular numbers. We focus on the linear homogeneous recurrence relation of degree 3 with constant coefficients for triangular numbers. Then we deal with the relationship between generalized Fibonacci polynomials and triangular numbers.
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SOME GENERALIZED FIBONACCI AND HERMITE POLYNOMIALS

JP Journal of Algebra, Number Theory and Applications, 2018
Summary: This paper defines a generalized Fibonacci polynomial and then compares its properties with those of Hermite polynomials and associated numbers.
Shannon, A. G., Deveci, Ömür
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Fibonacci Polynomials their Properties and Applications

Zeitschrift für Analysis und ihre Anwendungen, 1996
The paper deals with polynomials characterized by coefficients determined by successive elements of the Fibonacci sequence. Basic properties and applications of the Fibonacci polynomials are demonstrated. The index of concentration of Fibonacci polynomials at k
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Generalized Fibonacci Polynomials

The Fibonacci Quarterly, 1973
V. E. Hoggatt, Marjorie Bicknell
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An efficient numerical method based on Fibonacci polynomials to solve fractional differential equations

Mathematics and Computers in Simulation, 2023
Octavian Postavaru
exaly  

q -Fibonacci Polynomials

The Fibonacci Quarterly, 2003
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New Formulas Involving Fibonacci and Certain Orthogonal Polynomials

Symmetry, 2023
Waleed Abd-Elhameed, Hm Ahmed, Anna Napoli   +2 more
exaly  

Symbolic Substitutions Into Fibonacci Polynomials

The Fibonacci Quarterly, 1968
Hoggatt, Verner E. jun., Lind, D. A.
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