Aslanov, Afgan2024-03-132024-03-1320160170-42141099-1476https://doi.org/10.1002/mma.3541https://hdl.handle.net/20.500.12662/3458We study the exact solutions of the Emden-Fowler equations and generalize the n = 1 and n = 5 Lane-Emden equations. We analyze the series approximations and show that explicit formulas can be written for new classes of equations. Copyright (c) 2015 John Wiley & Sons, Ltd.eninfo:eu-repo/semantics/closedAccessordinary differential equationsapproximations and expansionsLane-Emden equationEmden-Fowler equationisothermal gas sphereArticle10.1002/mma.35412-s2.0-8496115789410425Q1103939WOS:000371934100007Q2