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One Class of Third-Order Linear ODE’s

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Computer Algebra in Scientific Computing (CASC 2010)

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

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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)

    MATH  Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  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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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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