@inproceedings{10.1145/2465506.2465513,
    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.},
    Address = {New York, NY, USA},
    Author = {Johansson, Fredrik and Kauers, Manuel and Mezzarobba, Marc},
    BookTitle = {Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation},
    File = {Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation - 2465506.2465513.pdf},
    ISBN = {9781450320597},
    Keywords = {effective analytic continuation, closed form solutions, d-finite equations},
    Location = {Boston, Maine, USA},
    Pages = {211--218},
    Publisher = {Association for Computing Machinery},
    Series = {ISSAC '13},
    Title = {Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation},
    URL = {https://doi.org/10.1145/2465506.2465513},
    Year = {2013},
    bdsk-url-1 = {https://doi.org/10.1145/2465506.2465513},
    bdsk-url-2 = {https://www.youtube.com/watch?v=08uywGo\_QNg\&ab\_channel=Experimentalmathematics},
    bdsk-url-3 = {https://www.youtube.com/watch?v=bPF-kpvK91k\&t=16s\&ab\_channel=Experimentalmathematics},
    date-added = {2022-12-16 22:30:32 +0100},
    date-modified = {2022-12-16 22:30:32 +0100},
    file-2 = {Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation - hypexp.pdf},
    file-3 = {Finding closed form solutions of differential equations - kauers13a - a.pdf},
    numpages = {8},
    doi = {10.1145/2465506.2465513}
}

@inproceedings{10.1145/2465506.2465513, 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.}, Address = {New York, NY, USA}, Author = {Johansson, Fredrik and Kauers, Manuel and Mezzarobba, Marc}, BookTitle = {Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation}, File = {Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation - 2465506.2465513.pdf}, ISBN = {9781450320597}, Keywords = {effective analytic continuation, closed form solutions, d-finite equations}, Location = {Boston, Maine, USA}, Pages = {211--218}, Publisher = {Association for Computing Machinery}, Series = {ISSAC '13}, Title = {Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation}, URL = {https://doi.org/10.1145/2465506.2465513}, Year = {2013}, bdsk-url-1 = {https://doi.org/10.1145/2465506.2465513}, bdsk-url-2 = {https://www.youtube.com/watch?v=08uywGo_QNg\&ab_channel=Experimentalmathematics}, bdsk-url-3 = {https://www.youtube.com/watch?v=bPF-kpvK91k\&t=16s\&ab_channel=Experimentalmathematics}, date-added = {2022-12-16 22:30:32 +0100}, date-modified = {2022-12-16 22:30:32 +0100}, file-2 = {Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation - hypexp.pdf}, file-3 = {Finding closed form solutions of differential equations - kauers13a - a.pdf}, numpages = {8}, doi = {10.1145/2465506.2465513} }