Results 31 to 40 of about 5,959,720 (288)

О представлении решения уравнения диффузии с операторами Джрбашяна-Нерсесяна

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022
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

open access: yesJournal of Inequalities and Applications, 2022
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
doaj   +1 more source

The Asymptotic Expansion of a Function Introduced by L.L. Karasheva

open access: yesMathematics, 2021
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
doaj   +1 more source

ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS

open access: yesMalaysian Journal of Computing, 2021
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

Certain Integral and Differential Formulas Involving the Product of Srivastava’s Polynomials and Extended Wright Function

open access: yesFractal and Fractional, 2022
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

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
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

open access: yesFractal and Fractional, 2021
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
doaj   +1 more source

Digital Cognitive Phenotyping for Differential Diagnosis and Monitoring in Neurological Conditions

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
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

open access: yesZeitschrift für Analysis und ihre Anwendungen, 2000
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

Generative Artificial Intelligence Utilization and Perspectives Among Reproductive‐Age Women With Systemic Autoimmune and Rheumatic Diseases

open access: yesArthritis Care &Research, EarlyView.
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

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