Results 31 to 40 of about 21,843 (120)

On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers

open access: yesAnnales Mathematicae Silesianae, 2019
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
Szynal-Liana Anetta, Włoch Iwona
doaj   +1 more source

A Study of the Second-Kind Multivariate Pseudo-Chebyshev Functions of Fractional Degree

open access: yesMathematics, 2020
Here, in this paper, the second-kind multivariate pseudo-Chebyshev functions of fractional degree are introduced by using the Dunford–Taylor integral.
Paolo Emilio Ricci, Rekha Srivastava
doaj   +1 more source

Recurrence Relations for Jacobi Orthogonal Polynomials on the Triangular Domain

open access: yesImage Analysis and Stereology
In this paper, we present recurrence relations for the Jacobi weighted orthogonal polynomials Pn,r(α,β,γ) (u, v, w) with r = 0, 1, . . . , n, where n ≥ 0, defined on the triangular domain T = {(u, v, w) : u, v, w ≥ 0, u + v + w = 1} for values of α, β ...
Wala’a A. AlKasasbeh   +5 more
doaj   +1 more source

On the Accessibility of Newton’s Method under a Hölder Condition on the First Derivative

open access: yesAlgorithms, 2015
We see how we can improve the accessibility of Newton’s method for approximating a solution of a nonlinear equation in Banach spaces when a center Hölder condition on the first derivative is used to prove its semi-local convergence.
José Antonio Ezquerro   +1 more
doaj   +1 more source

Extending the Applicability of a Two-Step Chord-Type Method for Non-Differentiable Operators

open access: yesMathematics, 2019
The semi-local convergence analysis of a well defined and efficient two-step Chord-type method in Banach spaces is presented in this study. The recurrence relation technique is used under some weak assumptions.
Ioannis K. Argyros   +2 more
doaj   +1 more source

Third order convergence theorem for a family of Newton like methods in Banach space

open access: yesJournal of Numerical Analysis and Approximation Theory, 2014
In this paper, we propose a family of Newton-like methods in Banach space which includes some well known third-order methods as particular cases. We establish the Newton-Kantorovich type convergence theorem for a proposed family and get an error estimate.
Tugal Zhanlav, Dorjgotov Khongorzul
doaj  

POINT SOURCE IN THE LAYERED MEDIUM WITH METAMATERIALS: METHOD OF RECURRENT RELATIONS [PDF]

open access: yesНаучно-технический вестник информационных технологий, механики и оптики, 2014
Multilayer systems with metamaterials are studied. A system comprising parallel alternated layers filled with metamaterial and vacuum is considered. The problem of obtaining expressions for electric part of the Green’s function is raised for the NIM ...
K. V. Pravdin, I. Y. Popov
doaj  

n-Color partitions with weighted differences equal to minus two

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
In this paper we study those n-color partitions of Agarwal and Andrews, 1987, in which each pair of parts has weighted difference equal to −2 Results obtained in this paper for these partitions include several combinatorial identities, recurrence ...
A. K. Agarwal, R. Balasubrananian
doaj   +1 more source

Discovering New Recurrence Relations for Stirling Numbers: Leveraging a Poisson Expectation Identity for Higher-Order Moments

open access: yesAxioms
This paper establishes two novel recurrence relations for Stirling numbers of the second kind—an L recurrence and a vertical recurrence—discovered through a probabilistic analysis of Poisson higher-order origin moments.
Ying-Ying Zhang, Dong-Dong Pan
doaj   +1 more source

Exact Formula for Computing the Hyper-Wiener Index on Rows of Unit Cells of the Face-Centred Cubic Lattice

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Similarly to Wiener index, hyper-Wiener index of a connected graph is a widely applied topological index measuring the compactness of the structure described by the given graph. Hyper-Wiener index is the sum of the distances plus the squares of distances
Mujahed Hamzeh, Nagy Benedek
doaj   +1 more source

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