@inproceedings{4119a7094beb4237af9fe0b4100cb1f4,
title = "Finding hyperexponential solutions of linear ODEs by numerical evaluation",
abstract = "We present a new algorithm for computing hyperexponential solutions of linear ordinary differential equations with polynomial coefficients. The algorithm relies on interpreting formal series solutions at the singular points as analytic functions and evaluating them numerically at some common ordinary point. The numerical data is used to determine a small number of combinations of the formal series that may give rise to hyperexponential solutions.",
keywords = "Closed form solutions, D-finite equations, Effective analytic continuation",
author = "Fredrik Johansson and Manuel Kauers and Marc Mezzarobba",
year = "2013",
month = aug,
day = "23",
doi = "10.1145/2465506.2465513",
language = "English",
isbn = "9781450320597",
series = "Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC",
pages = "211--218",
booktitle = "ISSAC 2013 - Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation",
note = "38th International Symposium on Symbolic and Algebraic Computation, ISSAC 2013 ; Conference date: 26-06-2013 Through 29-06-2013",
}