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TNF alpha unmasks enteric malate aspartate shuttle dysfunction bridging Parkinson disease and intestinal inflammation. [PDF]
Ghirotto B +24 more
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Quadratic Forms in Random Matrices with Applications in Spectrum Sensing. [PDF]
Riviello DG, Alfano G, Garello R.
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Mesoscale proximity labeling at chromatin leads to identification of small molecule mechanism of action. [PDF]
Douglas CJ +9 more
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New Conditions for Univalence of Confluent Hypergeometric Function
Since in many particular cases checking directly the conditions from the definitions of starlikeness or convexity of a function can be difficult, in this paper we use the theory of differential subordination and in particular the method of admissible ...
Georgia Irina Oros
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Extended hypergeometric and confluent hypergeometric functions
Applied Mathematics and Computation, 2004The functions under consideration are the extended Gaussian hypergeometric function \[ F_p(a,b;c,z)= {1\over B(b,c- b)} \int^1_0 t^{b-1}(1- t)^{c-b-1}(1- zt)^{-a}\exp\Biggl[-{p\over t(1- t)}\Biggr]\,dt \] and its confluent counterpart \(\Phi_p(b;c;z)\) with \(\exp(zt)\) in place of \((1- zt)^{-a}\). The authors discuss differentiation with respect to \(
Asghar Qadir +2 more
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Confluent Hypergeometric Functions
Nature, 1960Confluent Hypergeometric Functions By Dr. L. J. Slater. Pp. ix + 247. (Cambridge: At the University Press, 1960.) 65s. net.
K. D. Tocher, L. J. Slater
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GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS [PDF]
Summary: The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas, transform formulas ...
Rakesh K Parmar
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The hypergeometric function, the confluent hypergeometric function and WKB solutions
Journal of the Mathematical Society of Japan, 2021Take the Gauss hypergeometric equation and instead of parameters \(a,b,c\) let us write \(a=\alpha_0+\alpha \eta, b=\beta_0+\beta\eta, c=\gamma_0+\gamma\eta\) and instead of the unknown function \(w\) let us take \(w=x^{-c/2}(1-x)^{(-1/2)(a+b-c+1)}\psi\). Then the equation is written in the form \[ (-\frac{d^2}{dx^2}+\eta^2Q)\psi=0,\quad Q=\sum_{j=0}^N
Aoki, Takashi +2 more
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