Tohoku Mathematical Journal
2006
December
SECOND SERIES VOL. 58, NO. 4

Tohoku Math. J.
58 (2006), 509-527

Title UNIQUENESS THEOREMS IN AN ANGULAR DOMAIN

Author Weichuan Lin, Seiki Mori and Kazuya Tohge

(Received March 22, 2005, revised May 24, 2006)
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.

2000 Mathematics Subject Classification. Primary 30D35.
Key words and phrases. Shared-set, uniqueness, meromorphic function, angular domain.

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