Seven-Digit Tables of Lane-Emden Functions

In Table I we present seven digit numerical solutions of the Lane-Emden equation for the plane-parallel, cylindrical, and spherical case for polytropic indices ofn=-10, -5, -4, -3, -2, -1.5, -1.01, -0.9, -0.5, 0, 0.5, 1, 1.5, 2, 3, 4, 5, 6, 10, 20, ±∞, supplemented byn=2.5, 3.5, 4.5, and 4.99 for the spherical case. In Table II some finite boundary values of polytropic slabs, cylinders, and spheres are summarized. For polytropic spheres (N=3) we have also quoted boundary values near the minimum of the dimensionless mass -ξ² ₁θ₁ occurring atn≃4.823 (Seidov and Kuzakhmedov, 1978).