Hypergeometric solutions for third order linear ODEs

Details Hypergeometric solutions for third order linear ODEs Hypergeometric solutions for third order linear ODEs

2008-03-25

arxiv.org/abs/0803.3474v4

Mathematics

Classical Analysis and ODEs

11 pages, submitted to Journal of Physics A: Mathematical and Theoretical, March/24/2008 v2: rewrite section 3 citing existing

Scientific paper

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.

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