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Elementary and Liouvillian solutions of linear differential equations

  • Computer Analysis
  • Conference paper
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EUROCAL '85 (EUROCAL 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 204))

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References

  1. Davenport,J.H., A Liouville principle for linear differenial equations. To appear in Proc. Journées équations différentielles dans le champ complexe (Marseilles, 1984).

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  2. Liouville, J., Mémoire sur l'intégration d'une classe de fonctions transcendantes. Crelle's J. 13(1835) pp. 93–118.

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  3. Ostrowski, A.M., Sur l'intégrabilité élémentaire de quelques classes d'expressions. Comment. Math. Helvet. 28(1946) pp. 283–308.

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  4. Risch, R.H., The problem of integration in finite terms. Trans. A.M.S. 139(1969) pp. 167–189.

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  5. Rosenlicht, M., On Liouville's theory of elementary functions. Pacific J. Math. 65(1976), pp. 485–492.

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  6. Singer, M.F., Liouvillian solutions of n-th order homogenous linear differential equations. Amer. J. Math. 103(1981) pp. 661–681.

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Authors and Affiliations

  1. Dept. of Mathematics, North Carolina State University, 27695-8205, Raleigh, NC

    M. F. Singer

  2. School of Mathematics, University of Bath, Claverton Down, Bath, England

    J. H. Davenport

Authors
  1. M. F. Singer
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  2. J. H. Davenport
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Bob F. Caviness

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© 1985 Springer-Verlag Berlin Heidelberg

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Singer, M.F., Davenport, J.H. (1985). Elementary and Liouvillian solutions of linear differential equations. In: Caviness, B.F. (eds) EUROCAL '85. EUROCAL 1985. Lecture Notes in Computer Science, vol 204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15984-3_335

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  • DOI: https://doi.org/10.1007/3-540-15984-3_335

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15984-1

  • Online ISBN: 978-3-540-39685-7

  • eBook Packages: Springer Book Archive

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