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Zeros of successive derivatives of analytic functions having a single essential singularity II

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References

  1. J. G. Clunie,On a hypothetical theorem of Pólya, Complex Variables12 (1989), 87–94.

    MATH  MathSciNet  Google Scholar 

  2. P. Dienes,The Taylor Series, Dover, New York, 1957.

    MATH  Google Scholar 

  3. A. Edrei,On the zeros of successive derivatives, Proc. Am. Math. Soc.6 (1955), 386–399.

    Article  MATH  MathSciNet  Google Scholar 

  4. A. Edrei,Zeros of Successive Derivatives of Analytic Functions having a Single Essential Singularity, World Scientific, Singapore, 1987.

    Google Scholar 

  5. A. Edrei and G. R. MacLane,On the zeros of the derivatives of entire functions, Proc. Am. Math. Soc.8 (1957), 702–706.

    Article  MATH  MathSciNet  Google Scholar 

  6. R. Nevanlinna,Le théorème de Picard-Borel et la théorie des fonctions méromorphes, Gauthier-Villars, Paris, 1929.

    MATH  Google Scholar 

  7. R. Nevanlinna,Eindeutige Analytische Funktionen, Springer-Verlag, Berlin, 1953.

    MATH  Google Scholar 

  8. G. Pólya,Über die Nullstellen sukzessiver Derivierten, Math. Z.12 (1922), 36–60.

    Article  MathSciNet  Google Scholar 

  9. G. Pólya,On the zeros o the derivatives of a function and its analytic character, Bull. Am. Math. Soc.4 (1943), 178–191.

    Article  Google Scholar 

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Clunie, J.G., Edrei, A. Zeros of successive derivatives of analytic functions having a single essential singularity II. J. Anal. Math. 56, 141–185 (1991). https://doi.org/10.1007/BF02820463

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  • DOI: https://doi.org/10.1007/BF02820463

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