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Solutions of the Lane–Emden and Thomas–Fermi Equations

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A solution of the Lane–Emden equation is obtained based on the approach developed for the Thomas–Fermi equation. The solution is obtained for small values of the independent variable. Based on the solution obtained, analytical expressions are suggested for arbitrary values of the independent variable.

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Sabirov, R.K. Solutions of the Lane–Emden and Thomas–Fermi Equations. Russian Physics Journal 45, 129–132 (2002). https://doi.org/10.1023/A:1019691612380

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