Results 21 to 30 of about 466 (58)

Determinants of two kinds of matrices whose elements involve sine functions

Open Mathematics, 2019
The presented paper is strictly connected, among others, with the paper On the sum of some alternating series, Comp. Math. Appl. (2011), written by Wituła and Słota.
Różański Michał
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Matrix Manipulations for Properties of Pell p-Numbers and their Generalizations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
In this paper, we define the Pell-Pell p-sequence and then we discuss the connection of the Pell-Pell p-sequence with Pell and Pell p-sequences. Also, we provide a new Binet formula and a new combinatorial representation of the Pell-Pell p-numbers by the
Erdağ Özgür, Deveci Ömür, Shannon Anthony G.   +2 more
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Determinants of some special matrices over commutative finite chain rings

Special Matrices, 2020
Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, such matrices over rings have a closed connection with diagonal matrices over
Jitman Somphong
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The spectrum of two interesting stochastic matrices

Special Matrices, 2020
The spectrum of two interesting stochastic matrices appearing in an engineering paper is completely determined. As a result, an inequality conjectured in that paper, involving two second largest eigenvalues, is easily proved.
Anghel N.
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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
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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

Ullemar's formula for the Jacobian of the complex moment mapping

, 2003
The complex moment sequence m(P) is assigned to a univalent polynomial P by the Cauchy transform of the P(D), where D is the unit disk. We establish the representation of the Jacobian det dm(P) in terms of roots of the derivative P'.
Aharonov D, Akhiezer NI, Cowling VF, Etingof PI, Gantmaher FR, Gustafsson B, Gustafsson B, Kössler M, Milanfar P, Quine JR, Sakai M, Sakai M, Ullemar C, Vein R   +13 more
core   +1 more source

Spiral determinants

, 2017
We evaluate determinants of "spiral" matrices, which are matrices in which entries are spiralling from the centre of the matrices towards the outside, with prescribed increments from one entry to the next depending on whether one moves right, up, left ...
Bhatnagar, Gaurav, Krattenthaler, Christian   +1 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
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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