Articles

THE DISTRIBUTION OF VALUES OF TAYLOR SERIES

  • YU Jia-Rong
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  • School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received date: 2011-11-15

  Online published: 2012-09-20

Abstract

Clarify some classical results and their proofs on the distribution of values of simple Taylor series and extend them to multiple Taylor series.

Cite this article

YU Jia-Rong . THE DISTRIBUTION OF VALUES OF TAYLOR SERIES[J]. Acta mathematica scientia, Series B, 2012 , 32(5) : 1719 -1726 . DOI: 10.1016/S0252-9602(12)60136-2

References

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[2] Tsuji M. Potential Theory in Modern Function Theory. Tokyo: Maruzen Co, Ltd, 1959

[3] Valiron G. Points de Picard et Points de Borel des fonctions m´eromorphes dans un cercle. Bull Sc Math, 1932, 56: 10–32

[4] Valiron G. Directions de Borel des Fonctions M´eromorphes, M´emorial des Sc Math. Paris: Gautheir-Villars, 1938

[5] Yu J R. Some properties of random Dirichlet series (in Chinese). Acta Math Sinica, 1978, 21: 97–118

[6] Yu J R. Further applications of polar coordinates in Cn. Acta Math Sci, 2011, 31B(1): 1–7

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