Results 31 to 40 of about 20,849 (161)

D-Finite Discrete Generating Series and Their Sections

open access: yesMathematics
This paper investigates D-finite discrete generating series and their sections. The concept of D-finiteness is extended to multidimensional discrete generating series and its equivalence to p-recursive sequences is rigorously established.
Svetlana S. Akhtamova   +2 more
doaj   +1 more source

Revisiting some r-Fibonacci sequences and Hessenberg matrices [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
The relationship between different generalizations of Fibonacci numbers and matrices is common in the literature. However, the basic relation of such sequences with Hessenberg matrices is often not properly explored.
Carlos M. da Fonseca   +2 more
doaj   +1 more source

A New Generalization of mth-Order Laguerre-Based Appell Polynomials Associated with Two-Variable General Polynomials

open access: yesMathematics
This paper presents a novel generalization of the mth-order Laguerre and Laguerre-based Appell polynomials and examines their fundamental properties. By establishing quasi-monomiality, we derive key results, including recurrence relations, multiplicative
Waseem Ahmad Khan   +4 more
doaj   +1 more source

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 Between Moment Generating Function of Order Statistics for Doubly Truncated Continuous Distributions [PDF]

open access: yesThe Egyptian Statistical Journal, 1992
We derive some results for obtaining recurrence relations between moment generating functions of order statistics and recurrence relations between moment generating functions of the sum of two order statistics.
Mohie-El Din M.   +2 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

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

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

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  

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