Aslanov, Afgan2015-04-062015-04-062011Journal of Science and Technology 4 (1), 2011, 51 - 591307-3818In this article, a power series solution for the Lane-Emden equation for polytropic index n = 3 has been developed. We constructed a recurrence relation for the components of the series solution and established that the convergence radius is at least ?6.5 .enSingular IVPpolytropic gas sphereLane-Emden equationapproximate solutionArticle