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Zeros of meromorphic solutions of second order linear differential equations

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References

  1. Bank, S., Laine, I.: On the zeros of meromorphic solutions of second order linear differential equations. Comm. Math. Helv.58, 656–677 (1983).

    Google Scholar 

  2. Boyce, W., DePrima, R.: Elementary Differential Equations and Boundary Value problems (3rd Edition). New York: Wiley 1977

    Google Scholar 

  3. Fuchs, W.H.J.: Topics in Nevanlinna theory. Proceedings of the NRL Conference on Classical Function Theory, 1972, 1–32

  4. Gundersen, G.: On the real zeros of solutions tof″+Af=0 wheref is entire (to appear Ann. Acad. Sci. Fenn.)

  5. Hellerstein, S., Shen, L.C., Williamson, J.: Real zeros of derivatives of meromorphic functions and solutions of second-order differential equations. Trans. Am. Math. Soc.285, 759–776 (1984)

    Google Scholar 

  6. Hille, E.: Oscillation theorems in the complex domain. Trans. Am. Math. Soc.23, 350–385 (1922)

    Google Scholar 

  7. Hille, E.: Lectures on ordinary differential equations. London: Addison-Wesley 1969

    Google Scholar 

  8. Nevanlinna, F.: Über eine Klasse meromorpher Funktionen. Septième Congress Math. Scand., Oslo, 1929

  9. Nevanlinna, R.: Über Riemannsche Flächen mit endlich vielen Windungspunkten. Acta Math.58, 295–373 (1932)

    Google Scholar 

  10. Pólya, G., Szegö, G.: Aufgaben und Lehrsätze aus der Analysis II. Berlin-Heidelberg-New York: Springer 1954

    Google Scholar 

  11. Wagner, H.: Über eine Klasse Riemannscher Flächen mit endlich vielen nur logarithmischen Windungspunkten. J. Reine Angew. Math.175, 6–49 (1936)

    Google Scholar 

  12. Wittich, H.: Neuere Untersuchungen über eindeutige analytische Funktionen. Ergebn. der Math. Heft 8. Berlin-Heidelberg-New York: Springer 1955

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin, Madison, Wisconsin, USA

    Simon Hellerstein

  2. Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA

    John Rossi

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  1. Simon Hellerstein
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  2. John Rossi
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Hellerstein, S., Rossi, J. Zeros of meromorphic solutions of second order linear differential equations. Math Z 192, 603–612 (1986). https://doi.org/10.1007/BF01162707

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