@article { ,
title = {Series Solution of Second-Order Linear Homogeneous Ordinary Differential Equations via Complex Integration},
abstract = {A method is presented, with standard examples, based on an elementary complex integral expression, for developing, in particular, series solutions for second-order linear homogeneous ordinary differential equations. Straightforward to apply, the method reduces the task of finding a series solution to the solution, instead, of a system of simple equations in a single variable. The method eliminates the need to manipulate power series and balance powers, which is a characteristic of the usual approach. The method originated with Herrera [3], but was applied to the solution of certain classes of nonlinear ordinary differential equations by him.},
doi = {10.12988/imf.2014.4492},
eissn = {1312-7594},
note = {School: sch\_eng},
pages = {967-976},
publicationstatus = {Published},
publisher = {Hikari},
url = {http://researchrepository.napier.ac.uk/id/eprint/7765},
volume = {9},
keyword = {510 Mathematics, QA Mathematics, Series solution, ordinary differential equations, complex integrals},
year = {2024},
author = {Robin, William}
}