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Asymptotic theory of second order differential equations with two simple turning points

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References

  1. Buchholz, H.: Die konfluente hypergeometrische Funktion. Berlin-Göttingen Heidelberg: Springer 1953.

    Book  Google Scholar 

  2. Cherry, T. M.: Uniform asymptotic formulae for functions with transition points. Trans. Amer. Math. Soc. 68, 224–257 (1950).

    Article  MathSciNet  Google Scholar 

  3. Erdélyi, A., M. Kennedy & J. McGregor: Parabolic cylinder functions of large order. J. of Rational Mech. and Anal. 3, 459–485 (1954).

    MathSciNet  MATH  Google Scholar 

  4. Langer, R. E.: The asymptotic solutions of a linear differential equation of the second order with two turning points. Trans. Amer. Math. Soc., forthcoming.

  5. Langer, R. E.: The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to a turning point. Trans. Amer. Math. Soc. 67, 461–490 (1949).

    Article  MathSciNet  Google Scholar 

  6. McKelvey, R. W.: The solutions of second order linear ordinary differential equations about a turning point of order two. Trans. Amer. Math. Soc. 79, 103–123 (1955).

    Article  MathSciNet  Google Scholar 

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Communicated by L. Cesari

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Kazarinoff, N.D. Asymptotic theory of second order differential equations with two simple turning points. Arch. Rational Mech. Anal. 2, 129–150 (1958). https://doi.org/10.1007/BF00277924

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