Approximation Functions to the Emden and Associated Emden Functions near the First Zero, II

Astronomy and Astrophysics – Astrophysics

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Scientific paper

Improved analytic expressions are presented to approximate the Emden function, θ, and the associated Emden functionsθ and the associated Emden functions ψ0 and ψ2 near the first zero of θ at ξ1. The error in θ and ψ0 at ψ=1.5ψ1 is not more than 0.000 001. The ψ2 error at the same point is less than 0.000 05.

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