Results 31 to 40 of about 20,849 (161)
D-Finite Discrete Generating Series and Their Sections
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
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Revisiting some r-Fibonacci sequences and Hessenberg matrices [PDF]
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
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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
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On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
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
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A Study of the Second-Kind Multivariate Pseudo-Chebyshev Functions of Fractional Degree
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
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Recurrence Relations Between Moment Generating Function of Order Statistics for Doubly Truncated Continuous Distributions [PDF]
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
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On the Accessibility of Newton’s Method under a Hölder Condition on the First Derivative
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
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Recurrence Relations for Jacobi Orthogonal Polynomials on the Triangular Domain
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
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Extending the Applicability of a Two-Step Chord-Type Method for Non-Differentiable Operators
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
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POINT SOURCE IN THE LAYERED MEDIUM WITH METAMATERIALS: METHOD OF RECURRENT RELATIONS [PDF]
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
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