Results 121 to 130 of about 945,067 (284)
Pick Functions Related to the Multiple Gamma Functions of order $n$
, 2016 Let $G_n$ be the Barnes multiple Gamma function of order $n$ and the function $f_n(z)$ be defined as \begin{align*} f_n(z)=\dfrac{\log G_n(z+1)}{z^n\Log z},\quad z\in \mathbb{C}\setminus (-\infty,0]. \end{align*} In this work, a conjecture to find the Stieltjes representation is proposed such that $f_n(z)$ is a Pick function.
Das, Sourav, Swaminathan, A.
openaire +2 more sources
Whole‐Body Pattern of Muscle Degeneration and Progression in Sarcoglycanopathies
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To characterize whole‐body intramuscular fat distribution pattern in patients with sarcoglycanopathies and explore correlations with disease severity, duration and age at onset. Methods Retrospective, cross‐sectional, multicentric study enrolling patients with variants in one of the four sarcoglycan genes who underwent whole‐body ...
Laura Costa‐Comellas +39 more
wiley +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Introduction Spinal cord infarction (SCI) is a rare but devastating myelopathy, characterized by a high disability rate and an unfavorable prognosis. It has often been underdiagnosed and misdiagnosed as idiopathic transverse myelitis (ITM). This study aimed to describe the clinical features, radiological biomarkers, treatments, and functional ...
Zeqiang Ji +13 more
wiley +1 more source
Remote Assessment of Ataxia Severity in SCA3 Across Multiple Centers and Time Points
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Spinocerebellar ataxia type 3 (SCA3) is a genetically defined ataxia. The Scale for Assessment and Rating of Ataxia (SARA) is a clinician‐reported outcome that measures ataxia severity at a single time point. In its standard application, SARA fails to capture short‐term fluctuations, limiting its sensitivity in trials.
Marcus Grobe‐Einsler +20 more
wiley +1 more source
Extremal values of multiple gamma and sine functions
Advances in Mathematics, 2010 Barnes's multiple gamma function \(\Gamma_{r}(x)\) is defined by \[ \Gamma_{r}(x)=\exp\Big(\frac{\partial}{\partial s}\zeta_{r}(s,\,x)\Big|_{s=0}\Big) \;\;\;(x>0) \] where \(\zeta_{r}(s,\,x)\) is the multiple Hurwitz zeta function defined as \[ \zeta_{r}(s,\,x)=\sum_{n_{1},\dots,n_{r}=0}^{\infty}\frac{1}{(n_{1}+\dots + n_{r}+x)^{s}}\;\;\;\;(\text{Re ...
openaire +2 more sources
A Systematic Review and Meta‐Analysis of the Recurrence of Autoimmune Encephalitis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Autoimmune encephalitis (AE) is a disease with a potential for recurrence, and patients receive immunotherapy to prevent it. However, there is no consensus on the duration of immunotherapy. This study aimed to determine the recurrence rate and identify the risk factors for AE to provide guidance on the duration of immunotherapy ...
Shangkai Bai +5 more
wiley +1 more source
Annals of Clinical and Translational Neurology, EarlyView.Epigenetic reprogramming in hematopoietic stem and progenitor cells (HSPCs) and downstream myeloid cells, mediated by H3.3 downregulation and endogenous retroelement (ERE) overexpression, contributes to the progression of multiple sclerosis (MS). ABSTRACT Background Skewed myelopoiesis in the bone marrow has been identified as a key driver of multiple ...
Li‐Mei Xiao +6 more
wiley +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives Retrograde trans‐synaptic degeneration (rTSD) from posterior visual pathway lesions in multiple sclerosis (MS) is characterized by hemi‐macular ganglion cell‐inner plexiform layer (GCIPL) thinning and contralateral visual field loss.
Abdul Jaber Tayem +17 more
wiley +1 more source
Molecular AutismBackground Fragile X syndrome (FXS) is the most common inherited intellectual disability, caused by the loss of fragile X mental retardation protein (FMRP), which regulates neuronal signaling and plasticity.
Evangelia Pollali +7 more
doaj +1 more source
Cracking the Code: Genotype–Phenotype Correlation Models in Sarcoglycanopathies
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Sarcoglycanopathies are among the most severe limb‐girdle muscular dystrophies (LGMD), though milder presentations have been described. These diseases are primarily caused by missense variants, but the limited predictability of their effect on protein maturation, complex formation, and transport has hindered reliable genotype ...
Leonela Luce +72 more
wiley +1 more source