Hypergeometric solutions for third order linear ODEs
Classical Analysis and ODEs
2008-04-15 v4 Mathematical Physics
General Mathematics
math.MP
Abstract
In this paper we present a decision procedure for computing pFq hypergeometric solutions for third order linear ODEs, that is, solutions for the classes of hypergeometric equations constructed from the 3F2, 2F2, 1F2 and 0F2 standard equations using transformations of the form {x -> F(x), y -> P(x) y}, where F(x) is rational in x and P(x) is arbitrary. A computer algebra implementation of this work is present in Maple 12.
Cite
@article{arxiv.0803.3474,
title = {Hypergeometric solutions for third order linear ODEs},
author = {Edgardo S. Cheb-Terrab and Austin D. Roche},
journal= {arXiv preprint arXiv:0803.3474},
year = {2008}
}
Comments
11 pages, submitted to Journal of Physics A: Mathematical and Theoretical, March/24/2008 v2: rewrite section 3 citing existing related work and correct references v3: update definition of Schwarzian derivative, fix signs in second example and add one more reference