Results 1 to 10 of about 16,612,164 (345)
VNUT/SLC17A9, a vesicular nucleotide transporter, regulates osteoblast differentiation
Osteoblasts release adenosine triphosphate (ATP) out of the cell following mechanical stress. Although it is well established that extracellular ATP affects bone metabolism via P2 receptors [such as purinergic receptor P2X7 (P2X7R) and purinergic ...
Asako Inoue +12 more
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Solving General Differential Equations of Fractional Orders Via Rohit Transform [PDF]
inspecting the attributes of derivatives and integrals of fractional orders known as fractional derivatives and integrals. In this article, a far-out complex integral transform known as the Rohit transform (RT) is put into use for working out general ...
Rohit Gupta, Rahul Gupta, Dinesh Verma
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Analytical Parameter Estimation of the SIR Epidemic Model. Applications to the COVID-19 Pandemic
The SIR (Susceptible-Infected-Removed) model is a simple mathematical model of epidemic outbreaks, yet for decades it evaded the efforts of the mathematical community to derive an explicit solution.
Dimiter Prodanov
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Algebraic special functions and so(3,2)
A ladder structure of operators is presented for the associated Legendre polynomials and the spherical harmonics showing that both belong to the same irreducible representation of so(3,2).
Celeghini, E., del Olmo, M. A.
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Bounds for radii of starlikeness and convexity of some special functions [PDF]
In this paper we consider some normalized Bessel, Struve and Lommel functions of the first kind, and by using the Euler-Rayleigh inequalities for the first positive zeros of combination of special functions we obtain tight lower and upper bounds for the ...
.Ibrah.im Aktacs +2 more
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Hermitian vector fields and special phase functions
We start by analysing the Lie algebra of Hermitian vector fields of a Hermitian line bundle. Then, we specify the base space of the above bundle by considering a Galilei, or an Einstein spacetime.
Abraham R. +14 more
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Generalized Erdélyi-Kober Fractional Integrals and Images of Special Functions
The Riemann-Liuoville fractional integrals are the simplest and most popular operators of the classical fractional calculus. But their variants, the Erdélyi-Kober operators of fractional integration, have many more applications due to the freedom to ...
Virginia Kiryakova +1 more
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This paper investigated the fundamental characteristics and uses of a new class of bivariate quantum-Hermite-Appell polynomials. The series representation and generating relation for these polynomials were derived.
Mohra Zayed +4 more
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Regularity of the Hardy-Littlewood maximal operator on block decreasing functions
We study the Hardy-Littlewood maximal operator defined via an unconditional norm, acting on block decreasing functions. We show that the uncentered maximal operator maps block decreasing functions of special bounded variation to functions with integrable
Aldaz, J. M., Lazaro, J. Perez
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Mellin transform of quartic products of shifted Airy functions
The Mellin transform of quartic products of shifted Airy functions is evaluated in a closed form. Some particular cases expressed in terms of the logarithm function and complete elliptic integrals special values are presented.Comment: Submitted to ...
Abramochkin, E. G., Razueva, E. V.
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