Results 11 to 20 of about 642,965 (224)

Gaussian Pell-Lucas Polynomials [PDF]

open access: yesCommunications in Mathematics and Applications, 2019
In this paper, we first define the Gaussian Pell-Lucas polynomial sequence. We then obtain Binet formula, generating function and determinantal representation of this sequence. Also, some properties of the Gaussian Pell-Lucas polynomials are investigated.
Yağmur, Tülay
openaire   +3 more sources

Bivariate Gaussian Fibonacci And Lucas Polynomials.

open access: yesArs Comb., 2013
In this study we define and study the Bivariate Gaussian Fibonacci and Bivariate Gaussian Lucas Polynomials. We give generating function, Binet formula, explicit formula and partial derivation of these polynomials. By defining these bivariate polynomials for special cases Fn(x, 1) is the Gaussian Fibonacci polynomials, Ln(x, 1) is the Gaussian Lucas ...
Aşcı, Mustafa, Gurel, E.
openaire   +4 more sources

Lifespan Pancreas Morphology for Control Versus Type 2 Diabetes Using AI on Largescale Clinical Imaging. [PDF]

open access: yesClin Anat
ABSTRACT Understanding how pancreas size and shape change with normal aging is critical for establishing a baseline to detect deviations in type 2 diabetes and other pancreatic disease. We measure pancreas size and shape using morphological measurements from early development through aging (ages 0–90).
Remedios LW   +13 more
europepmc   +2 more sources

Variational iteration algorithm for numerical solutions of sixth and seventh order boundary value problems using shifted Vieta-Lucas polynomials

open access: yesScientific African, 2023
This study employs Shifted Vieta-Lucas Polynomials using the variational iteration approach to numerically resolve sixth and seventh order Boundary Value Problems (BVPs), The proposed method in the study is used, with the trial functions for the ...
Ikechukwu Jackson Otaide   +4 more
doaj   +1 more source

Novel Results for Two Generalized Classes of Fibonacci and Lucas Polynomials and Their Uses in the Reduction of Some Radicals

open access: yesMathematics, 2022
The goal of this study is to develop some new connection formulae between two generalized classes of Fibonacci and Lucas polynomials. Hypergeometric functions of the kind 2F1(z) are included in all connection coefficients for a specific z.
Waleed Mohamed Abd-Elhameed   +2 more
doaj   +1 more source

Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila   +2 more
doaj   +1 more source

On New Polynomial Sequences Constructed to Each Vertex in an n-Gon

open access: yesDiscrete Dynamics in Nature and Society, 2022
In this work, we bring to light the properties of newly formed polynomial sequences at each vertex of Pell polynomial sequences placed clockwise at each vertex in the n-gon. We compute the relation among the polynomials with such vertices.
Abdul Hamid Ganie   +3 more
doaj   +1 more source

Orthogonal Polynomials, Paraorthogonal Polynomials, and Point Perturbation [PDF]

open access: yes, 2009
This thesis consists of three parts. Part 1 starts with an introduction to orthogonal polynomials, to be followed by some well-known theorems pertinent to the results we shall discuss.
Wong, Manwah Lilian
core   +1 more source

A generalization of Lucas polynomial sequence

open access: yesDiscrete Applied Mathematics, 2009
The authors consider the problem of a generalization of Lucas polynomial sequence. They obtain a generalized Lucas polynomial sequence from the lattice paths for the Delannoy numbers by allowing weights on the steps \((1,0),(0,1)\) and \((1,1)\).
Gi-Sang Cheon   +2 more
openaire   +3 more sources

Cube Polynomial of Fibonacci and Lucas Cubes [PDF]

open access: yesActa Applicandae Mathematicae, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klavžar, Sandi, Mollard, Michel
openaire   +2 more sources

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