Tanrıverdi, Tanfer2021-10-262021-10-262019-02-01https://doi.org/10.31801/cfsuasmas.451619http://hdl.handle.net/20.500.12575/75743In this article, the well-known approximate and analytical solutions of the Lane-Emden equation applying Taylor series expansion are derived. To the best of author's knowledge nobody has overcome the singularity of the Lane-Emden equation at the origin as it is carried out hereenLane-Emden equationTaylor series expansionExact solutionArticle6812712762618-6470