Results 61 to 70 of about 170,209 (319)

Two Bessel Bridges Conditioned Never to Collide, Double Dirichlet Series, and Jacobi Theta Function

, 2008
It is known that the moments of the maximum value of a one-dimensional conditional Brownian motion, the three-dimensional Bessel bridge with duration 1 started from the origin, are expressed using the Riemann zeta function.
A. Altland, A. Altland, A.N. Borodin, C. Krattenthaler, C. Krattenthaler, C.A. Tracy, D. Revuz, D.K. Arrowsmith, I. Karatzas, J.W. Essam, M. Fulmek, M. Katori, M. Katori, M. Katori, M. Katori, M. Katori, M. Yor, M.E. Fisher, Makoto Katori, Minami Izumi, N. Bonichon, N.G. Bruijn de, Naoki Kobayashi, P. Biane, S. Karlin   +24 more
core   +1 more source

Uniform asymptotic expansions of the incomplete gamma functions and the incomplete beta function [PDF]

Mathematics of Computation, 1975
New asymptotic expansions are derived for the incomplete gamma functions and the incomplete beta function. In each case the expansion contains the complementary error function and an asymptotic series. The expansions are uniformly valid with respect to certain domains of the parameters.
openaire   +1 more source

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

Supplements to known monotonicity results and inequalities for the gamma and incomplete gamma functions

Journal of Inequalities and Applications, 2006
We denote by and the gamma and the incomplete gamma functions, respectively. In this paper we prove some monotonicity results for the gamma function and extend, to , a lower bound established by Elbert and Laforgia (2000) for the function , with ...
Laforgia A, Natalini P
doaj  

Incomplete Bessel, generalized incomplete gamma, or leaky aquifer functions

Journal of Computational and Applied Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Department of Physics, University of Utah, Salt Lake City, UT 84112, USA ( host institution ), Harris, Frank E. ( author )   +1 more
openaire   +3 more sources

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

Refinements and Applications of Hermite–Hadamard-Type Inequalities Using Hadamard Fractional Integral Operators and GA-Convexity

Mathematics
In this paper, several applications of the Hermite–Hadamard inequality for fractional integrals using GA-convexity are discussed, including some new refinements and similar extensions, as well as several applications in the Gamma and incomplete Gamma ...
Muhammad Amer Latif
doaj   +1 more source

New Flexible Regression Models Generated by Gamma Random Variables with Censored Data [PDF]

, 2016
We propose and study a new log-gamma Weibull regression model. We obtain explicit expressions for the raw and incomplete moments, quantile and generating functions and mean deviations of the log-gamma Weibull distribution.
Cordeiro, Gauss M., Hamedani, Gholamhossein G., Hashimoto, Elizabeth M., Ortega, Edwin M. M.   +3 more
core   +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, Goknur Selen Kocak, José Verdú‐Díaz, Jorge Alonso‐Pérez, Kristl G. Claeys, Tanya Stojkovic, Gorka Fernández‐Eulate, Pascal Laforêt, Najoua Miladi, Filipe Di Pace, Cristiane Araujo Martins Moreno, Edmar Zanoteli, Conrad C. Weihl, Volker Straub, Ana Töpf, Jordi Díaz‐Manera, Sarcoglycan European Cohort Consortium, Adele D′Amico, Adolfo López de Munain, Alicia Alonso‐Jiménez, Ana Camacho‐Salas, Andrea Gangfuß, Andrés Nascimento, Anna Sarkozy, Anneke J. van der Kooi, Arturo Fraga‐Bau, Béla Melegh, Benedikt Schoser, Bjarne Udd, Blaz Koritnik, Carlos Ortez, Chiara Marini Bettolo, Chiara Panicucci, Claudia Weiss, Claudio Bruno, Claudio Semplicini, Cristina Dominguez‐González, Cristina Garrido, David Gómez‐Andrés, Edoardo Malfatti, Elena Pegoraro, Elke De Vos, Francina Munell, Gabriele Dekomien, Giacomo Pietro Comi, Giorgio Tasca, Isabelle Richard, Jan L. De Bleecker, Jana Haberlová, Jesper Helbo Storgaard, Johanna Palmio, John Vissing, Juan Carlos de Leon‐Hernández, Kinga Hadzsiev, Laura Costa‐Comellas, Lea Leonardis, Leroy ten Dam, Lidia González‐Quereda, Luca Bello, Luisa Politano, Manuela Santos, Marianne de Visser, Marie Rohlenová, Matteo Garibaldi, Michela Guglieri, Nicolas Deconinck, Nicoline Løkken, Omar Abdel‐Mannan, Pia Gallano, Roberto Fernández‐Torrón, Ulrike Schara‐Schmidt, Vincenzo Nigro, Vittoria Zangaro   +72 more
wiley   +1 more source

Whittaker-Type Differential Equation: A Solution via Integral Functions

AppliedMath
In this study, we consider and analyze an inhomogeneous Whittaker-type differential equation of the form d2y(x)dx2+1xdy(x)dx−α2x2−β2y(x)=g(x), where α and β are given parameters.
M. S. Abu Zaytoon, Hannah Al Ali, M. H. Hamdan   +2 more
doaj   +1 more source