2008/03/25 by E.S. Cheb-Terrab, Edgardo S. Cheb-Terrab, Cheb-Terrab, Edgardo S. +3 · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #34-xx #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #General Mathematics (math.GM) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Polynomial and algebraic computation #math-ph #math.CA #math.GM #math.MP #msc:34-xx
paper · pdf · doi:10.48550/arxiv.0803.3474
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
openalex publication_date 2008/03/25 · arxiv created 2008/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.