Results 31 to 40 of about 6,301 (213)

On the Approximation of a Generalized Incomplete Gamma Function Arising in Heat Conduction Problems

Journal of Mathematical Analysis and Applications, 2000
The authors investigate the following generalized incomplete gamma function \[ \Gamma(\alpha, x;b)= \int^\infty_x t^{\alpha-1} e^{-t- b/t}dt,\quad x>0,\quad \text{Re}(b)\geq 0,\quad b\neq 0, \] towards obtaining asymptotic expansions when \(x\to\infty\), and \(\alpha\) is unrestricted for negative values.
Boudjelkha, M.T., Chaudhry, M.Aslam
openaire   +2 more sources

Spinal Cord Infarction Versus Idiopathic Transverse Myelitis: Clinical, Radiological, and Functional Insights From a Retrospective Cohort Study

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, Jianlong Zhang, Yiming Shi, Shiyu Shan, Yang Du, Guangshuo Li, Ying Jin, Yani Zhang, Chuanying Wang, Yijun Lin, Yuhao Guo, Decai Tian, Xingquan Zhao, Tian Song   +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, Vivian Maas, Arian Taheri Amin, Jennifer Faber, Tamara Schaprian, Katharina Hill, Matthis Synofzik, Lisa H. Graf, Heike Jacobi, Manuela Lima, Ana F. Ferreira, Bart P. van de Warrenburg, Ilse H. J. Willemse, Dagmar Timmann, Andreas Thieme, Paola Giunti, Hector Garcia‐Moreno, Magda M. Santana, Jeannette Hübener‐Schmid, Elin H. Davies, Thomas Klockgether   +20 more
wiley   +1 more source

On the decomposition of generalized incomplete gamma functions with applications to Fourier transforms

Journal of Computational and Applied Mathematics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aslam Chaudhry, M., Zubair, S.M.
openaire   +1 more source

Clinical Outcomes of SEEG‐Guided Radiofrequency Thermocoagulation in Children With Focal Drug‐Resistant Epilepsy: A Multicenter Real‐World Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Stereoelectroencephalography‐guided radiofrequency thermocoagulation (SEEG‐RFTC) has emerged as a safe and effective minimally invasive treatment for children with drug‐resistant focal epilepsy. Although evidence from real‐world studies remains limited, numerous pediatric cases have demonstrated promising outcomes. This retrospective
Weitao Chen, Stéphane Jean, Weihong Liu, Yihai Dai, Xinrong Fang, Xiaoqiang Wei, Shan Chen, Shiwei Song   +7 more
wiley   +1 more source

Analysis of Finite Integrals with Incomplete Aleph Functions, Mittag-Leffler Generalizations, and the Error Function

Fractal and Fractional
In this paper, we evaluate a general class of finite integrals involving the error function, generalized Mittag-Leffler functions, and incomplete Aleph functions. The main result provides a unified framework that extends several known formulas related to
Dinesh Kumar, Frédéric Ayant, Meena Kumari Gurjar, Anil Kumar Vishnoi, Saroj Solanki   +4 more
doaj   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

On a Certain Class of GA-Convex Functions and Their Milne-Type Hadamard Fractional-Integral Inequalities

Fractal and Fractional
In this article, we prove a new Milne-type inequality involving Hadamard fractional integrals for functions with GA-convex first derivatives. The limits of the error estimates involve incomplete gamma and confluent hypergeometric functions.
Abdelkader Moumen, Rabah Debbar, Badreddine Meftah, Khaled Zennir, Hicham Saber, Tariq Alraqad, Etaf Alshawarbeh   +6 more
doaj   +1 more source

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

Probability density functions involving a generalized r–Gauss hypergeometric function

Le Matematiche, 2010
The aim of this paper is to study r–generalized gamma functions of a particular form.Moreover, we define a new probability density function (p.d.f) involving these new generalized functions.
Y. Ben Nakhi, S. L. Kalla
doaj