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Approximate analytical solutions of the Lane-Emden equation in N- dimensional space. (English) Zbl 0609.76082

We present expansions of Lane-Emden functions near an interior point of a polytrope, near the finite boundary, and asymptotic expansions for the so called isothermal function. The usefulness of Padé approximants is investigated and tabulated in the last section.

MSC:

76N99 Compressible fluids and gas dynamics
41A21 Padé approximation
35Q99 Partial differential equations of mathematical physics and other areas of application
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