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International Workshop on Computer Algebra in Scientific Computing

CASC 2010: Computer Algebra in Scientific Computing pp 232–237Cite as

One Class of Third-Order Linear ODE’s

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6244))

Abstract

A classification of equations originated by Fuchsian third-order equation with three regular points is proposed. Links to generalized hypergeometric equation are discussed.

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References

  1. Akopyan, A.M., Pirozhnikov, A.V., Slavyanov, S.Y., Zolotarev, V.I.: Elements of data base on special functions. In: Conference: Theoretical, Applied and Computational Celestial Mechanics, ITA RAN, St.-Petersburg (1993)

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  2. Seeger, A., Lay, W., Slavyanov, S.Y.: Confluence of Fuchsian second-order differential equations. Theor. and Math. Phys. 104(2), 233–247 (1995)

    Article  MATH  Google Scholar 

  3. Slavyanov, S.Y., Lay, W.: Special Functions: a Unified Theory Based on Singularities. Oxford University Press, Oxford (2000)

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  4. Slavyanov, S.Y., Lay, W., Seeger, A.: Classification. In: Ronveaux, A. (ed.) Heun’s Differential Equation. Oxford University Press, Oxford (1995)

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  5. Salvy, B., Slavyanov, S.Y.: A combinatorial problem in the classification of second-order linear ODE’s, INRIA, Report RR-2600 (1995)

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  6. Hoeij, M.: Solving third order linear differential equations in terms of second order equations. In: ISSAC 2007 Proc., pp. 355–360 (2007)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Dept. of Comput.Phys., St. Petersburg State University, Russia

    S. Yu. Slavyanov

Authors
  1. S. Yu. Slavyanov
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Editor information

Editors and Affiliations

  1. JINR, Moscow region, 141980, Dubna, Russia

    Vladimir P. Gerdt

  2. University of Kassel, 34109 l, Kasse, Germany

    Wolfram Koepf

  3. Technische Universität München, 85748, Garching, Germany

    Ernst W. Mayr

  4. Russian Academy of Sciences,, 630090, Novosibirsk, Russia

    Evgenii V. Vorozhtsov

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© 2010 Springer-Verlag Berlin Heidelberg

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Slavyanov, S.Y. (2010). One Class of Third-Order Linear ODE’s. In: Gerdt, V.P., Koepf, W., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2010. Lecture Notes in Computer Science, vol 6244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15274-0_21

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  • DOI: https://doi.org/10.1007/978-3-642-15274-0_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15273-3

  • Online ISBN: 978-3-642-15274-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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