@article { ,
title = {On the procedure for the series solution of certain general-order homogeneous linear differential equations via the complex integration method.},
abstract = {The theory of series solutions for two important classes of the general higher-order linear homogeneous ordinary differential equation is developed ab initio, using an elementary complex integral expression derived and applied in previous papers [10, 11], based on the original work of Herrera [5]. As well as producing general expressions for the recurrence relations for higher-order equations with analytic coefficients or the general-order Fuchs’ equation, the complex integral method is straight-forward to apply as an algorithm on its own. ‘Benchmark’ examples from the general mathematic literature, are presented and a brief discussion of ‘logarithmic’ solutions is included.},
doi = {10.12988/nade.2014.4712},
eissn = {2367-4814},
issn = {1314-7587},
note = {School: sch\_eng},
pages = {155-171},
publicationstatus = {Published},
url = {http://researchrepository.napier.ac.uk/id/eprint/7157},
volume = {2},
keyword = {510 Mathematics, QA Mathematics, Ordinary differential equations, general order, series solutions, Fuchs, Frobenius, complex integrals;},
year = {2023},
author = {Robin, William}
}