Open Access
2006 Uniqueness theorems in an angular domain
Weichuan Lin, Seiki Mori, Kazuya Tohge
Tohoku Math. J. (2) 58(4): 509-527 (2006). DOI: 10.2748/tmj/1170347687

Abstract

There are many papers on the uniqueness theory of meromorphic functions in the whole plane $\boldsymbol{C}$. However, the uniqueness theory concerned with shared sets in an angular domain does not yet seem widely investigated. In this paper, we deal with the problem of uniqueness for meromorphic functions in $\boldsymbol{C}$ under some conditions in an angular domain instead of the whole plane. Moreover, examples show that those conditions are necessary.

Citation

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Weichuan Lin. Seiki Mori. Kazuya Tohge. "Uniqueness theorems in an angular domain." Tohoku Math. J. (2) 58 (4) 509 - 527, 2006. https://doi.org/10.2748/tmj/1170347687

Information

Published: 2006
First available in Project Euclid: 1 February 2007

zbMATH: 1134.30026
MathSciNet: MR2297197
Digital Object Identifier: 10.2748/tmj/1170347687

Subjects:
Primary: 30D35

Keywords: angular domain , meromorphic function , Shared-set , uniqueness

Rights: Copyright © 2006 Tohoku University

Vol.58 • No. 4 • 2006
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