Results 51 to 60 of about 3,674,543 (358)

Recurrence relations for the midpoint method

open access: yesTamkang Journal of Mathematics, 2000
In this paper, we present a new convergence analysis and error estimates for the Midpoint method in Banach spaces by using Newton-Kantorovich-type assumptions and a technique based on a new system of recurrence relations. Finally, we give three examples where we improve the error bounds are better given by other authors.
Ezquerro Fernández, José Antonio   +2 more
openaire   +4 more sources

Recurrence relation for relativistic atomic matrix elements

open access: yes, 2000
Recurrence formulae for arbitrary hydrogenic radial matrix elements are obtained in the Dirac form of relativistic quantum mechanics. Our approach is inspired on the relativistic extension of the second hypervirial method that has been succesfully ...
A L Salas-Brito   +16 more
core   +1 more source

Some Families of Differential Equations Associated with Multivariate Hermite Polynomials

open access: yesFractal and Fractional, 2023
In this article, the recurrence relations and shift operators for multivariate Hermite polynomials are derived using the factorization approach. Families of differential equations, including differential, integro–differential, and partial differential ...
Badr Saad T. Alkahtani   +2 more
doaj   +1 more source

On Quaternion-Gaussian Fibonacci Numbers and Their Properties

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
We study properties of Gaussian Fibonacci numbers. We start with some basic identities. Thereafter, we focus on properties of the quaternions that accept gaussian Fibonacci numbers as coefficients.
Halici Serpil, Cerda-Morales Gamaliel
doaj   +1 more source

Numerical Treatment of Multi-Term Fractional Differential Equations via New Kind of Generalized Chebyshev Polynomials

open access: yesFractal and Fractional, 2023
The main aim of this paper is to introduce a new class of orthogonal polynomials that generalizes the class of Chebyshev polynomials of the first kind. Some basic properties of the generalized Chebyshev polynomials and their shifted ones are established.
Waleed Mohamed Abd-Elhameed   +1 more
doaj   +1 more source

Dynamic changes of T-cell subsets and their relation with tumor recurrence after microwave ablation in patients with hepatocellular carcinoma

open access: yesJournal of Cancer Research and Therapeutics, 2018
Aims: Thermal ablation can evoke an immune response, which may have effects on the prognosis of patients with hepatocellular carcinoma (HCC). Our aim is to investigate the changes of circulating T-cell subsets after microwave ablation (MWA) and to ...
Yan Zhou   +6 more
semanticscholar   +1 more source

FoxO1 signaling in B cell malignancies and its therapeutic targeting

open access: yesFEBS Letters, EarlyView.
FoxO1 has context‐specific tumor suppressor or oncogenic character in myeloid and B cell malignancies. This includes tumor‐promoting properties such as stemness maintenance and DNA damage tolerance in acute leukemias, or regulation of cell proliferation and survival, or migration in mature B cell malignancies.
Krystof Hlavac   +3 more
wiley   +1 more source

Proof of a stronger version of the AJ conjecture for torus knots

open access: yes, 2013
For a knot $K$ in $S^3$, the $sl_2$-colored Jones function $J_K(n)$ is a sequence of Laurent polynomials in the variable $t$, which is known to satisfy non-trivial linear recurrence relations.
Anh T Tran, Lubotzky, Reshetikhin
core   +1 more source

Recurrence Relations for Orthogonal Polynomials on Triangular Domains

open access: yesMathematics, 2016
In Farouki et al, 2003, Legendre-weighted orthogonal polynomials P n , r ( u , v , w ) , r = 0 , 1 , … , n , n ≥ 0 on the triangular domain T = { ( u , v , w ) : u , v , w ≥ 0 , u + v + w = 1 } are constructed, where u , v , w
Abedallah Rababah
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

Home - About - Disclaimer - Privacy