References
J. G. Clunie,On a hypothetical theorem of Pólya, Complex Variables12 (1989), 87–94.
P. Dienes,The Taylor Series, Dover, New York, 1957.
A. Edrei,On the zeros of successive derivatives, Proc. Am. Math. Soc.6 (1955), 386–399.
A. Edrei,Zeros of Successive Derivatives of Analytic Functions having a Single Essential Singularity, World Scientific, Singapore, 1987.
A. Edrei and G. R. MacLane,On the zeros of the derivatives of entire functions, Proc. Am. Math. Soc.8 (1957), 702–706.
R. Nevanlinna,Le théorème de Picard-Borel et la théorie des fonctions méromorphes, Gauthier-Villars, Paris, 1929.
R. Nevanlinna,Eindeutige Analytische Funktionen, Springer-Verlag, Berlin, 1953.
G. Pólya,Über die Nullstellen sukzessiver Derivierten, Math. Z.12 (1922), 36–60.
G. Pólya,On the zeros o the derivatives of a function and its analytic character, Bull. Am. Math. Soc.4 (1943), 178–191.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02820463