Results 31 to 40 of about 125,910 (166)

Fibonacci self-reciprocal polynomials and Fibonacci permutation polynomials

, 2017
20 pages, a section on self-reciprocal polynomials added, the first moment and second moment (q even) of Fibonacci polynomials ...
Fernando, Neranga, Rashid, Mohammad
openaire   +2 more sources

The generalized bivariate fibonacci and lucas matrix polynomials [PDF]

, 2022
The main object of the present paper is to consider the matrix polynomials for the generalized bivariate Fibonacci and Lucas polynomials. Working with matrix properties for these new matrix polynomials, some identities of the generalized bivariate ...
Yilmaz, N.
core   +1 more source

A New Class of q-Fibonacci Polynomials [PDF]

The Electronic Journal of Combinatorics, 2003
We introduce a new $q$-analogue of the Fibonacci polynomials and derive some of its properties. Extra attention is paid to a special case which has some interesting connections with Euler's pentagonal number theorem.
openaire   +3 more sources

Fibonacci polynomials

Pure and Applied Mathematics Quarterly
The Fibonacci polynomials $\big\{F_n(x)\big\}_{n\ge 0}$ have been studied in multiple ways. In this paper we study them by means of the theory of Heaps of Viennot. In this setting our polynomials form a basis $\big\{P_n(x)\big\}_{n\ge 0}$ with $P_n(x)$ monic of degree $n$. This given, we are forced to set $P_n(x)=F_{n+1}(x)$.
Garsia, A., Ganzberger, G.
openaire   +2 more sources

Generalized Fibonacci Polynomials [PDF]

Turkish Journal of Analysis and Number Theory, 2016
In this study, we present generalized Fibonacci polynomials. We have used their Binet’s formula and generating function to derive the identities. The proofs of the main theorems are based on special functions, simple algebra and give several interesting properties involving them.
Yashwant K. Panwar, B. Singh, V.K. Gupta
openaire   +1 more source

Hyper-Fibonacci and Hyper-Lucas Polynomials [PDF]

, 2023
In this paper, hyper-Fibonacci and hyper-Lucas polynomials are defined and some of their algebraic and combinatorial properties such as the recurrence relations, summation formulas, and generating functions are presented.
Mersin, Efruz Özlem
core   +1 more source

A different approach to Gauss Fibonacci polynomials [PDF]

In this paper with the help of higher order Fibonacci polynomials, we introduce higher order Gauss Fibonacci polynomials that generalize the Gauss Fibonacci polynomials studied by Özkan and Taştan.
Kızılateş, Can
core   +2 more sources

Binomial identities involving the generalized fibonacci type polynomials [PDF]

, 2011
We present some binomial identities for sums of the bivariate Fibonacci polynomials and for weighted sums of the usual Fibonacci polynomials with indices in arithmetic ...
Kilic, Emrah, Irmak, Nurettin
core   +5 more sources

Capacitated Vehicle Routing Problems With Three‐Dimensional Loading Constraints: A Systematic Review and New Taxonomy

IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.
This article provides a comprehensive review of studies on the 3L‐CVRP (capacitated vehicle routing problem with three‐dimensional loading constraints) published from 2006 to 2026. It systematically classifies problem variants, modelling frameworks, and solution approaches, while also summarising benchmark instances.
Jushang Chi, Rui Song, Shiwei He
wiley   +1 more source

On bivariate Fibonacci-Fubini polynomials

Recently, Fibonacci extensions of several special polynomials, such as Fibonacci-Hermite, Fibonacci-Euler, Fibonacci-Genocchi, Fibonacci-Bernoulli, and Fibonacci-Bernstein polynomials, have been considered, and diverse of their properties and relations ...
Duran, Uğur
core   +1 more source