Hypoglycemia Induces Diabetic Macrovascular Endothelial Dysfunction via Endothelial Cell PANoptosis, Macrophage Polarization, and VSMC Fibrosis. [PDF]
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SARS-CoV-2 infects olfactory neurons and basal stem cells and induces axonal degeneration through TRPV1 activation. [PDF]
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Multi-omic analysis of guided and unguided forebrain organoids reveals differences in cellular composition and metabolic profiles. [PDF]
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Conserved Aberrant Developmental Trajectories of Human and Mouse SBMA Motor Neurons
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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 \(
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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.
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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
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Confluent Hypergeometric Function
2021Topics of this chapter are the confluent hypergeometric function of first and second kind, the hypergeometric function 2F0(a1, a2;;z), the confluent hypergeometric limit function 0F1(;b;z), and the Whittaker functions. The evaluation of the functions will be based either on a series expansion or on a path integration technique in dependence of the ...
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