Results 91 to 100 of about 761,977 (284)

On Some Identities and Symmetric Functions for Balancing Numbers

Journal of New Theory, 2018
In this paper, we derivenew generating functions of the product of balancing numbers, Lucas balancingnumbers and the Chebychev polynomials of the second kind by making use ofuseful properties of the symmetric functions mentioned in the paper.
Ali Boussayoud
doaj  

Certain Properties and Characterizations of Two-Iterated Two-Dimensional Appell and Related Polynomials via Fractional Operators

Fractal and Fractional
This paper introduces the operational rule for 2-iterated 2D Appell polynomials and derives its generalized form using fractional operators. It also presents the generating relation and explicit forms that characterize the generalized 2-iterated 2D ...
Mohra Zayed, Shahid Ahmad Wani
doaj   +1 more source

An identity for symmetric bilinear forms

Linear Algebra and its Applications, 1985
The main result is the following Proposition 2: Let V be a 2-dimensional vector space over a field of characteristic \(\neq 2\) with a symmetric bilinear form f on \(V\times V\). Let \(a_ 0\), \(a_ 1\), \(a_ 2\), \(a_ 3\) be four points on \(C:=\{a\in V| f(a,a)=1\}\) such that \(f(a_ 1,a_ 2)\neq 1\), \(f(a_ 2,a_ 3)\neq 1\) and \(f(a_ 3,a_ 1)\neq 1 ...
openaire   +1 more source

Gravity‐Dependent Modulation of Downbeat Nystagmus: Insights From Velocity‐Storage Dysfunction

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Downbeat nystagmus varies with head position, a phenomenon termed gravity‐dependent modulation. We aimed to clarify its mechanism using a velocity‐storage model. Methods In 10 patients with downbeat nystagmus due to cerebellar disorders, we recorded eye movements at different pitch‐ and roll‐axis head positions.
Ji‐Hyung Park, Eun‐Hyuk Choi, Jorge Otero‐Millan, David S. Zee, Jeong‐Yoon Choi, Ji‐Soo Kim   +5 more
wiley   +1 more source

Notes on Traces of a Symmetric Generalized (?, ?)-Biderivations and Commutativity in Prime Rings

مجلة بغداد للعلوم, 2017
Let R be a 2-torision free prime ring and ?, ?? Aut(R). Furthermore, G: R×R?R is a symmetric generalized (?, ?)-Biderivation associated with a nonzero (?, ?)-Biderivation D.
Baghdad Science Journal
doaj   +1 more source

Some Identities and Asymptotics for Characters of the Symmetric Group

Journal of Algebra, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klyachko, A., Kurtaran, E.
openaire   +4 more sources

Risk of Retinopathy Associated with Long‐Term Use of Hydroxychloroquine in Patients with Rheumatic Diseases: A Systematic Review and Meta‐Analysis

Arthritis Care &Research, EarlyView.
Objective We aimed to estimate the prevalence and cumulative incidence of hydroxychloroquine retinopathy (HCQ‐R) and its risk factors among patients receiving long‐term HCQ with rheumatic diseases through a systematic review and meta‐analysis of observational studies that used spectral‐domain optical coherence tomography (SD‐OCT) for screening ...
Narsis Daftarian, Chloe Yue, Steve D Levasseur, Hui Xie, J. Antonio Avina‐Zubieta   +4 more
wiley   +1 more source

The Lupus Damage Index Revision Program: Results From the Item Generation and Reduction Phases

Arthritis Care &Research, EarlyView.
Objective A data‐driven and expert/patient consensus‐based project to develop a revised Systemic Lupus International Collaborating Clinics (SLICC)/American College of Rheumatology (ACR) Damage Index (SDI) is under way supported by SLICC, ACR, and the Lupus Foundation of America. Our objective is to report the item generation and reduction phase results
Burak Kundakci, Megan R. W. Barber, Ann E. Clarke, Sindhu R. Johnson, Anselm Mak, Hermine I. Brunner, Murat Inanc, Rosalind Ramsey‐Goldman, Guillermo Ruiz‐Irastorza, Ellen M. Ginzler, John G. Hanly, Alexandra Legge, Cynthia Aranow, Laurent Arnaud, Nathalie Costedoat‐Chalumeau, Dafna D. Gladman, Søren Jacobsen, Michelle Petri, Clovis A. Silva, Évelyne Vinet, Alexandre E. Voskuyl, SDI Revision Literature Review Groups, SDI Revision Delphi Panel, SDI Revision Item Reduction Committee, SDI Revision Clinical Domain Groups, Ian N. Bruce   +25 more
wiley   +1 more source

Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials

Abstract and Applied Analysis, 2009
By the properties of p-adic invariant integral on ℤp, we establish various identities concerning the generalized Bernoulli numbers and polynomials. From the symmetric properties of p-adic invariant integral on ℤp, we give some interesting relationship ...
Taekyun Kim, Seog-Hoon Rim, Byungje Lee
doaj   +1 more source

ON SOME PROPERTIES OF UNBOUNDED BILINEAR FORMS ASSOCIATED WITH SKEW-SYMMETRIC L2(Ω)-MATRICES

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2013
We study the bilinear forms on the space of measurable square-integrable functionswhich are generated by skew-symmetric matrices with unbounded coecients.We show that in the case when a skew-symmetric matrix contains L2-elements, the corresponding ...
P. I. Kogut
doaj   +1 more source