On the Majorana Solution to the Thomas-Fermi Equation
摘要
We analyse the solution to the Thomas-Fermi equationThomas-Fermi equation discovered by Majorana. We show that the series for the slope at originSlope at origin enables one to obtain results of accuracy far beyond those provided by available methods. We also estimate the radius of convergenceConvergence of this series and conjecture that the singularity closest to origin is a square-root branch point.