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Targeting mTOR to Mitigate Sequelae of Chronic Hypoxia on the Carotid Artery and Cerebral Circulation. [PDF]
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On the Generalized Extended Wright Function
International Journal of Fuzzy Mathematical Archive, 2021The main object of this paper is to introduce a new generalized extended Wright function, for the new generalized extended Wright function properties such as integral representations, Euler’s beta, Mellin, inverse Mellin, Jacobi, Gegenbaur, and Legendre transforms are proposed and investigated. Moreover, some derivative formulas, classical and extended
Umar Muhammad Abubakar, Naresh Dudi
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Generating Functions Involving the Fox-Wright Functions
Computational Mathematics and Mathematical Physics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some properties concerning the analysis of generalized Wright function
Journal of Computational and Applied Mathematics, 2020The Bessel-Maitland function, also called the Wright generalized Bessel function, is defined by \(W_{\alpha ,\beta } (z)=\sum _{n=0}^{\infty }\frac{z^{n} }{n!\Gamma (\alpha n+\beta )} \quad (\beta \in \mathrm{C},\; Re\, \alpha >-1)\). Various generalizations exist, for example, \(W_{\alpha ,\beta }^{\gamma ,\delta } (z)=\sum _{n=0}^{\infty }\frac{z^{n}
Nabi Ullah Khan, Talha Usman, Mohd Aman
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On Properties of an Entire Function That is a Generalization of the Wright Function
Journal of Mathematical Sciences, 2020The author considers the function \[\Theta_{n,\alpha}(z;\mu)=\sum_{k=0}^\infty \frac{\sin n\omega_k}{\sin \omega_k}\, \frac{z^k}{k! \Gamma(\mu-\frac{\alpha k}{2n})}, \qquad \omega_k:=(k+1)\pi/(2n)\] for positive integer \(n\). This is a fundamental solution of the fractional differential equation \[\frac{\partial^\alpha u}{\partial t^\alpha}+(-1)^n ...
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Harmonic univalent functions associated with Wright's generalized hypergeometric functions
Integral Transforms and Special Functions, 2011The purpose of this paper is to study certain harmonic univalent mappings involving the Wright's generalized hypergeometric functions. We investigate the usual characteristics associated with such harmonic mappings and also mention their validity conditions. As consequences of our main results, we deduce several results involving the generalized Mittag–
R K Raina
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Fox-H Densities and Completely Monotone Generalized Wright Functions
Due to their flexibility, Fox-$H$ functions are widely studied and applied to many research topics, such as astrophysics, mechanical statistic, probability, etc. Well-known special cases of Fox-$H$ functions, such as Mittag-Leffler and Wright functions, find a wide application in the theory of stochastic processes, anomalous diffusions and non-Gaussian
Luisa Beghin +2 more
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