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Uniqueness theorems of entire functions with shared-set in an angular domain

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Abstract

There have been lots of papers on the uniqueness theory of entire functions concerning shared-sets in the whole complex plane. However, it seems that the uniqueness theory in an angular domain is not widely investigated. In this paper, we study the uniqueness of entire functions concerning shared-sets in an angular domain instead of the whole complex plane, and we supply examples to show that Theorem 1 is sharp.

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Authors and Affiliations

  1. Department of Mathematics, Fujian Normal University, Fuzhou, 350007, P. R. China

    Wei Chuan Lin

  2. Department of Mathematical Sciences, Faculty of Science, Yamagata University, Yamagata, 990-8560, Japan

    Seiki Mori

  3. Department of Mathematics, Shandong University, Ji’nan, 250100, P. R. China

    Hong Xun Yi

Authors
  1. Wei Chuan Lin
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  2. Seiki Mori
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  3. Hong Xun Yi
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Corresponding author

Correspondence to Wei Chuan Lin.

Additional information

Research supported by the National Natural Science Foundation of China (10671109) and the Research Foundation of Doctor Points of China (20060422049). Research of the first author also supported by the JSPS Post Doctoral Fellowship Program and the Fujian Province Natural Science Foundation (2008J0190)

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Lin, W.C., Mori, S. & Yi, H.X. Uniqueness theorems of entire functions with shared-set in an angular domain. Acta. Math. Sin.-English Ser. 24, 1925–1934 (2008). https://doi.org/10.1007/s10114-008-5479-y

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  • DOI: https://doi.org/10.1007/s10114-008-5479-y

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