Hokkaido Mathematical Journal

BANERJEE Abhijit, MUKHERJEE Sonali,

Uniqueness of meromorphic functions sharing two or three sets.

Hokkaido Mathematical Journal, 37 (2008) pp.507-530

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Abstract

In this paper, we employ the notion of weighted sharing to consider the problem of uniqueness of meromorphic functions when they share two or three sets. Our results not only improve the results of Qiu and Fang [21], Lin and Yi [27], Lin and Yi [28], Fang and Lahiri [6] but also supplement the result of Lahiri [13] in a new direction and consequently provide an answer to the question of Gross [7].

MSC(Primary)30D35
MSC(Secondary)
Uncontrolled Keywordsmeromorphic functions, uniqueness, weighted sharing, shared set.