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Connection problems for linear ordinary differential equations in the complex domain

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Part of the Lecture Notes in Mathematics book series (LNM,volume 810)

Keywords

  • Singular Point
  • Fundamental Solution
  • Linear Differential Equation
  • Linear Ordinary Differential Equation
  • Connection Matrix

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References

  1. E.A. Coddington and N. Levinson, Theory of ordinary differential equations, chapter 4, McGraw-Hill, New York (1955)

    MATH  Google Scholar 

  2. F.R. Gantmacher, The theory of matrices, Chelsea Publishing Comp., New York (1971)

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  3. K. Heun, Zur Theorie der Riemann'schen Funktionen zweiter Ordnung mit vier Verzweigungspunkten, Math.Ann. 33 (1889), 161–179

    CrossRef  MathSciNet  Google Scholar 

  4. E. Hille, Lectures on ordinary differential equations, Addison-Wesley, Reading Mass. (1969)

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  5. F.W.J. Olver, Asymptotics and special functions, Academic Press, New York (1974)

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  6. R.Schäfke and D.Schmidt, The connection problem for general linear ordinary differential equations at two regular singular points with applications in the theory of special functions, preprint (1978)

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  7. R.Schäfke, The connection problem for two neighbouring regular singular points of general linear complex ordinary differential equations, preprint (1978)

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  8. D. Schmidt, Spektraleigenschaften und kanonische Fundamentallösungen linearer Differentialgleichungen bei einfachen Singularitäten, Arch.Math. 31 (1978), 302–309

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© 1980 Springer-Verlag

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Schäfke, R., Schmidt, D. (1980). Connection problems for linear ordinary differential equations in the complex domain. In: Martini, R. (eds) Geometrical Approaches to Differential Equations. Lecture Notes in Mathematics, vol 810. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089985

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  • DOI: https://doi.org/10.1007/BFb0089985

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10018-8

  • Online ISBN: 978-3-540-38166-2

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