CERTAIN SUMMATION FORMULAE AND RELATIONS DUE TO DOUBLE SERIES ASSOCIATED WITH THE GENERAL HYPERGEOMETRIC TYPE HURWITZ-LERCH ZETA FUNCTIONS [PDF]
R. C. Singh Chandel, Hemant Kumar
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Changes in Immune‐Inflammation Status and Acute Ischemic Stroke Prognosis in Prospective Cohort
ABSTRACT Background Inflammation is a critical risk factor for poor outcomes in cerebral infarction. Prior studies focused primarily on baseline inflammation status, neglecting dynamic longitudinal changes. We try to investigate the association between immune‐inflammation status alterations and stroke prognosis, and evaluated three systemic biomarkers'
Songfang Chen +11 more
wiley +1 more source
Robin conditions on the Euclidean ball
Techniques are presented for calculating directly the scalar functional determinant on the Euclidean d-ball. General formulae are given for Dirichlet and Robin boundary conditions. The method involves a large mass asymptotic limit which is carried out in
Barnes E W +29 more
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Use of Symptomatic Drug Treatment for Fatigue in Multiple Sclerosis and Patterns of Work Loss
ABSTRACT Objective To describe the use of central stimulants and amantadine for fatigue in MS and evaluate a potential association with reduced work loss in people with MS. Methods We conducted a nationwide, matched, register‐based cohort study in Sweden (2006 to 2023) using national registers with prospective data collection.
Simon Englund +3 more
wiley +1 more source
Applications of Minor-Summation Formula I. Littlewood's Formulas
A minor-summation formula of a Pfaffian expressing a weighted sum of minors of any rectangular matrix in terms of a single Pfaffian was obtained by \textit{M. Ishikawa} and \textit{M. Wakayama} [Linear Multilinear Algebra 39, No. 3, 285-305 (1995; Zbl 0830.15011)].
Ishikawa, Masao +2 more
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Functional Connectivity Linked to Cognitive Recovery After Minor Stroke
ABSTRACT Objective Patients with minor stroke exhibit slowed processing speed and generalized alterations in functional connectivity involving frontoparietal cortex (FPC). The pattern of connectivity evolves over time. In this study, we examine the relationship of functional connectivity patterns to cognitive performance, to determine ...
Vrishab Commuri +7 more
wiley +1 more source
Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials
In this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi +3 more
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Separation of soft and collinear infrared limits of QCD squared matrix elements [PDF]
We present a simple way of separating the overlap between the soft and collinear factorization formulae of QCD squared matrix elements. We check its validity explicitly for single and double unresolved emissions of tree-level processes.
Nagy, Zoltan +2 more
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Tropical formulae for summation over a part of SL(2, Z)
Let $f(a,b,c,d)=\sqrt{a^2+b^2}+\sqrt{c^2+d^2}-\sqrt{(a+c)^2+(b+d)^2}$, let $(a,b,c,d)$ stand for $a,b,c,d\in\mathbb Z_{\geq 0}$ such that $ad-bc=1$. Define \begin{equation} \label{eq_main} F(s) = \sum_{(a,b,c,d)} f(a,b,c,d)^s.
Kalinin, Nikita, Shkolnikov, Mikhail
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Real‐World Performance of CSF Kappa Free Light Chains in the 2024 McDonald Criteria
ABSTRACT Objective Kappa free light chains (KFLCs) in the cerebrospinal fluid (CSF) have a similar performance to CSF‐restricted oligoclonal bands (OCB) for multiple sclerosis (MS) diagnosis. To help with implementation, we set out to resolve several remaining uncertainties: (1) performance in a real‐world cohort and the 2024 McDonald criteria; (2 ...
Maya M. Leibowitz +11 more
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