, Volume 73, Issue 1, pp 227-239

Power-series solutions of the Lane-Emden equation

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Abstract

In this paper the problem of representing the numerical solutions of the Lane-Emden equation analytically by means of a convergent power series has been considered. Our results show that it is possible to represent the numerical solutions of the Lane-Emden equation by means of a power series which can be convergent in the whole interior of a polytropic model.