Approximate analytical solutions of the Lane-Emden equation in N-dimensional space

Details Approximate analytical solutions of the Lane-Emden equation in N-dimensional space Approximate analytical solutions of the Lane-Emden equation in N-dimensional space

Jan 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...172..359h&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 172, no. 1-2, Jan. 1987, p. 359-367.

Astronomy and Astrophysics

Astrophysics

8

Asymptotic Properties, Pade Approximation, Polytropic Processes, Stellar Models, Convergence, Topology

Scientific paper

Series expansions of Lane-Emden functions are presented near an internal
point of a polytrope for general geometric index N, with special
emphasis given to the case where n is equal to plus or minus infinity.
Asymptotic expansions are given for the so-called isothermal function.
The usefulness of Pade approximants is investigated and tabulated.

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