Lane-Emden surface mass constant ( $Y_{n}$ )

For a Lane-Emden function whose first zero is

ξ_{1}

,

Y_{n} = - ξ_{1}^{2} θ^{'} (ξ_{1}) = \int_{0}^{ξ_{1}} ξ^{2} θ (ξ)^{n} d ξ .

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Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 317 / 3 / ii / b / Solution

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