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

Details Approximation Functions to the Emden and Associated Emden Functions near the First Zero Approximation Functions to the Emden and Associated Emden Functions near the First Zero

Oct 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..37...57l&link_type=abstract

Astrophysics and Space Science, Volume 37, Issue 1, pp.57-72

Astronomy and Astrophysics

Astrophysics

7

Scientific paper

Analytic expressions are presented which approximate the Emden function θ, and the associated Emden functions,ψ o andψ 2, and their derivatives, near the first zero of θ,ξ o. The range of accurate representation extends toξ= 1.5ξ 1. This range is sufficient to encompass the boundary of a critically rotating polytrope.

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