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WNT7A/B assemble a GPR124-RECK-LRP5/6 coreceptor complex to activate β-catenin signaling in brain endothelial cells. [PDF]
Heiden R +5 more
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Conserved Aberrant Developmental Trajectories of Human and Mouse SBMA Motor Neurons
Devine H +6 more
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Harnessing Dynamic Cell Responses to Optimise Pluripotency Protocols
La Regina A, Pedone E, Marucci L.
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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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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 \(
Chaudhry, M. Aslam +3 more
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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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Confluent hypergeometric functions
2010The details of the hypergeometric function were developed in Chapter 5. We used the notion\(F(\alpha,\beta ;\gamma ;z)\) to denote this function. A more complete notation on the hypergeometric function is\({}_2F_1 (\alpha,\beta ;\gamma ;z)\), which, in this chapter, is used in parallel with the shorter one.
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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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