Results 21 to 30 of about 488 (79)

Determinants of tridiagonal matrices over some commutative finite chain rings

Special Matrices
Diagonal matrices and their generalization in terms of tridiagonal matrices have been of interest due to their nice algebraic properties and wide applications.
Jitman Somphong, Sricharoen Yosita
doaj   +1 more source

Eulerian polynomials as moments, via exponential Riordan arrays [PDF]

, 2011
Using the theory of exponential Riordan arrays and orthogonal polynomials, we demonstrate that the "descending power" Eulerian polynomials, and their once shifted sequence, are moment sequences for simple families of orthogonal polynomials, which we ...
Barry, Paul
core   +3 more sources

The prenatal caregiving expectations questionnaire‐revised version: Factor structure, internal consistency, and initial construct validity

Infant Mental Health Journal: Infancy and Early Childhood, Volume 45, Issue 5, Page 541-556, September 2024.
Abstract An efficient, multidimensional instrument is needed to screen non‐optimal prenatal parental representations predictive of postnatal parenting behavior and child attachment. The present work aimed to revise and validate the Prenatal Caregiving Expectations Questionnaire—Revised (PCEQ‐R).
Katrine Røhder, Magnus Volden Baumann, Karen‐Inge Karstoft, Ida Schleicher, Carol George, Susanne Harder   +5 more
wiley   +1 more source

Some conjectures on the ratio of Hankel transforms for sequences and series reversion [PDF]

, 2007
For each element of certain families of integer sequences, we study the term-wise ratios of the Hankel transforms of three sequences related to that element by series reversion.
Barry, P.
core   +1 more source

Solitons of a simple nonlinear model on the cubic lattice

, 2017
We study a simple nonlinear model defined on the cubic lattice. We propose a bilinearization scheme for the field equations and demonstrate that the resulting system is closely related to the well-studied integrable models, such as the Hirota bilinear ...
Vekslerchik, V. E.
core   +1 more source

Integral closure of rings of integer-valued polynomials on algebras

, 2014
Let $D$ be an integrally closed domain with quotient field $K$. Let $A$ be a torsion-free $D$-algebra that is finitely generated as a $D$-module. For every $a$ in $A$ we consider its minimal polynomial $\mu_a(X)\in D[X]$, i.e.
G. Peruginelli, G. Peruginelli, J.-P. Cahen, J.P. Serre, K.A. Loper, L.E. Dickson, N. Bourbaki, R. Gilmer, S. Evrard, S. Frisch, T.Y. Lam   +10 more
core   +1 more source

On three-dimensional q-Riordan arrays

Demonstratio Mathematica
In this article, we define three-dimensional q-Riordan arrays and q-Riordan representations for these arrays. Also, we give four cases of infinite multiplication three-dimensional matrices of these arrays.
Fang Gang, Koparal Sibel, Ömür Neşe, Duran Ömer, Khan Waseem Ahmad   +4 more
doaj   +1 more source

On some special Legendre sums of the form

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
We prove that sums of the form with f(X), g(X) ∈ ℤ[X] can be explicitly computed whenever f and g are subject to some certain conditions which are defined in the paper.
Andrica Dorin, Crişan Vlad
doaj   +1 more source

Unit group of the ring of negacirculant matrices over finite commutative chain rings

Special Matrices
Circulant matrices form an important class of matrices that have been continuously studied due to their nice algebraic structures and wide applications. In this study, we focus specifically on negacirculant matrices, which are known as extensions of the ...
Naksing Prarinya, Jitman Somphong
doaj   +1 more source

Refinements of G\'al's theorem and applications [PDF]

, 2014
We give a simple proof of a well-known theorem of G\'al and of the recent related results of Aistleitner, Berkes and Seip [1] regarding the size of GCD sums.
Lewko, Mark, Radziwill, Maksym
core