Results 31 to 40 of about 5,959,720 (288)
О представлении решения уравнения диффузии с операторами Джрбашяна-Нерсесяна
В работе исследуется параболическое уравнение в частных производных с дробным дифференцированием по одной из двух независимых переменных, ассоциируемой со временем. Такие уравнения принято относить к классу уравнений дробной диффузии.
Богатырева, Ф.Т.
doaj +1 more source
Generalized Lommel–Wright function and its geometric properties
The normalization of the combination of generalized Lommel–Wright function J κ 1 , κ 2 κ 3 , m ( z ) $\mathfrak{J}_{\kappa _{1},\kappa _{2}}^{\kappa _{3},m}(z)$ ( m ∈ N , κ 3 > 0 $\kappa _{3}>0$ and κ 1 , κ 2 ∈ C ) defined by J κ 1 , κ 2 κ 3 , m ( z ) : =
Hanaa M. Zayed, Khaled Mehrez
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The Asymptotic Expansion of a Function Introduced by L.L. Karasheva
The asymptotic expansion for x→±∞ of the entire function Fn,σ(x;μ)=∑k=0∞sin(nγk)sinγkxkk!Γ(μ−σk),γk=(k+1)π2n for μ>0 ...
Richard Paris
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ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
doaj +1 more source
Many authors have established various integral and differential formulas involving different special functions in recent years. In continuation, we explore some image formulas associated with the product of Srivastava’s polynomials and extended Wright ...
Saima Naheed +4 more
doaj +1 more source
T1 Over Squared Proton Density Ratio to Characterize Multiple Sclerosis Lesions
ABSTRACT Objective Differentiating remyelinated from demyelinated lesions in MS remains challenging without histological confirmation. This study introduces the T1‐to‐PD2 ratio (TPR) imaging approach and evaluates its ability to characterize MS lesions alongside other quantitative MRI (qMRI) metrics. Methods Thirty individuals with MS (mean age: 47.5 ±
Sarah J. Wright +10 more
wiley +1 more source
Fractional Integral Inequalities for Exponentially Nonconvex Functions and Their Applications
In this paper, the authors define a new generic class of functions involving a certain modified Fox–Wright function. A useful identity using fractional integrals and this modified Fox–Wright function with two parameters is also found. Applying this as an
Hari Mohan Srivastava +4 more
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Digital Cognitive Phenotyping for Differential Diagnosis and Monitoring in Neurological Conditions
ABSTRACT Objective To assess the utility, accessibility, and equivalence to supervised scales of online cognitive assessment in older individuals with cognitive impairment. Methods Patients with Alzheimer's disease (AD, n = 31), idiopathic normal pressure hydrocephalus (iNPH, n = 26), and traumatic brain injury (TBI, n = 23) completed online cognitive ...
Martina Del Giovane +10 more
wiley +1 more source
Asymptotics of Zeros of the Wright Function
The paper deals with the asymptotics of zeros of the Wright function \phi (\rho, \beta; z) = \sum^{\infty}_{k=0} \frac{z^k}{k! \Gamma (\rho k + \beta)} \\ (\rho > –1) in the case the parameter
openaire +3 more sources
Objective Reproductive‐age women with systemic autoimmune and rheumatic diseases (SARDs) have unique information needs related to their SARDs and reproductive health. We sought to understand their use of and receptivity to current and hypothetical generative artificial intelligence (AI) tools for health information‐seeking. Methods We conducted a cross‐
Mariam Arif +5 more
wiley +1 more source

