Advertisement

One Class of Third-Order Linear ODE’s

  • S. Yu. Slavyanov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, 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.

Keywords

Fuchsian equation third-order ODE’s polynomial coefficients 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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)Google Scholar
  2. 2.
    Seeger, A., Lay, W., Slavyanov, S.Y.: Confluence of Fuchsian second-order differential equations. Theor. and Math. Phys. 104(2), 233–247 (1995)CrossRefzbMATHGoogle Scholar
  3. 3.
    Slavyanov, S.Y., Lay, W.: Special Functions: a Unified Theory Based on Singularities. Oxford University Press, Oxford (2000)zbMATHGoogle Scholar
  4. 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. 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. 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

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • S. Yu. Slavyanov
    • 1
  1. 1.Dept. of Comput.Phys.St. Petersburg State UniversityRussia

Personalised recommendations