Results 221 to 230 of about 466,283 (262)

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.
openaire   +2 more sources

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
openaire   +2 more sources

On hyper (r, q)-Fibonacci polynomials

Mathematica Slovaca
Related to generalized arithmetic triangle, we introduce the hyper (r, q)-Fibonacci polynomials as the sum of these elements along a finite ray starting from a specific point, which generalize the hyper-Fibonacci polynomials. We give generating function,
H. Belbachir, Fariza Krim
semanticscholar   +1 more source

Complete homogeneous symmetric functions of Gauss Fibonacci polynomials and bivariate Pell polynomials

, 2020
: In this paper, we introduce a symmetric function in order to derive a new generating functions of bivariate Pell Lucas polynomials. We define complete homogeneous symmetric functions and give generating functions for Gauss Fibonacci polynomials, Gauss ...
N. Saba, A. Boussayoud
semanticscholar   +1 more source

Generalized Humbert polynomials via generalized Fibonacci polynomials

Applied Mathematics and Computation, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Weiping, Wang, Hui
openaire   +2 more sources

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
openaire   +2 more sources

An efficient numerical method based on Fibonacci polynomials to solve fractional differential equations

Mathematics and Computers in Simulation, 2023
O. Postavaru
semanticscholar   +1 more source

A new effective coherent numerical technique based on shifted Vieta–Fibonacci polynomials for solving stochastic fractional integro-differential equation

Computational and Applied Mathematics, 2023
Reema Gupta, S. S. Ray
semanticscholar   +1 more source

Approximate solution of two-dimensional Sobolev equation using a mixed Lucas and Fibonacci polynomials

Engineering computations, 2021
S. Haq, Ihteram Ali
semanticscholar   +1 more source

Generalized Fibonacci Polynomials

The Fibonacci Quarterly, 1973
V. E. Hoggatt, Marjorie Bicknell
openaire   +1 more source