Results 41 to 50 of about 2,413 (304)

Some factorization results on polynomials having integer coefficients [PDF]

open access: yes, 2023
In this article, we prove some factorization results for several classes of polynomials having integer coefficients, which in particular yield several classes of irreducible polynomials.
Garg, Rishu, Singh, Jitender
core   +2 more sources

On one method of factorization of polynomials [PDF]

open access: yes, 1999
Запропоновано та обгрунтовано чисельний метод розкладу многочлена з комплексними коефіцентами на множники. Побудовано алгоритм розкладу многочлена з дійсними коефіцієнтами на дійсні множники у випадку кратних коренів.We propose and justify a numerical ...
Джалладова, И.А.
core   +2 more sources

Tricomi Continuants

open access: yesMathematics
In this paper, we introduce and study the Tricomi continuants, a family of tridiagonal determinants forming a Sheffer sequence closely related to the Tricomi polynomials and the Laguerre polynomials.
Emanuele Munarini
doaj   +1 more source

Laguerre–Freud Equations for the Gauss Hypergeometric Discrete Orthogonal Polynomials

open access: yesMathematics, 2023
The Cholesky factorization of the moment matrix is considered for the Gauss hypergeometric discrete orthogonal polynomials. This family of discrete orthogonal polynomials has a weight with first moment given by ρ0=2F1a,bc+1;η.
Itsaso Fernández-Irisarri   +1 more
doaj   +1 more source

Schemes for deterministic polynomial factoring [PDF]

open access: yesProceedings of the 2009 international symposium on Symbolic and algebraic computation, 2009
In this work we relate the deterministic complexity of factoring polynomials (over finite fields) to certain combinatorial objects we call m-schemes. We extend the known conditional deterministic subexponential time polynomial factoring algorithm for finite fields to get an underlying m-scheme.
Gábor Ivanyos   +2 more
openaire   +3 more sources

Some families of differential equations for multivariate hybrid special polynomials associated with Frobenius-Genocchi polynomials [PDF]

open access: yes
This article introduces a new class of multivariate Hermite-Frobenius-Genocchi polynomials and explores various characterizations of these polynomials. We examine their properties, including recurrence relations and shift operators.
Ramírez, William   +3 more
core   +1 more source

Factorization of bivariate sparse polynomials [PDF]

open access: yes, 2019
International audienceWe prove a function field analogue of a conjecture of Schinzel on the factorization of univariate polynomials over the rationals.
Amoroso, Francesco, Sombra, Martín
core   +1 more source

On applications of iteration algorithms and Skorobagatko's branching fractions to approximation of roots of polynomials in Banach algebras

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
Iteration algorithms for approximate factorization of some classes of polynomials with coefficients from a Banach algebra are investigated. These algorithms may be considered as methods of construction of analogues of V.Ya.
M. I. Kopach, A. F. Obshta, B. A. Shuvar
doaj   +1 more source

Factorization of Matrix Polynomials with Symmetries [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 1994
This paper presents a detailed study of the factorizations of matrix polynomials with symmetries. It begins with defining the key properties of matrix polynomials to be discussed: selfadjoint, symmetric, general rank, generally invertible, etc. Then representations of factorizations of various matrix polynomials are presented in detail.
André C. M. Ran, Leiba Rodman
openaire   +1 more source

Forecasting the Dialysis Burden in Japan: Validation‐Based Projections of Prevalence and Incidence Through 2050

open access: yesTherapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin   +2 more
wiley   +1 more source

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