2007Journal of Guangxi University of TechnologyRequires access

Uniqueness theorem of meromorphic functions sharing one value

Qifan Li

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Abstract

Sharing value with weight is an important thing in the uniqueness theory of meromorphic function.In 2005 Zhou Houqing proved a theorem about the uniqueness of meromorphic function,we consider if we can weak the condition CM to weight using the idea of sharing value with weight so as to get a better conclusion.We use the idea of weight to study the uniqueness of meromorphic function sharing one value.The conclusion improved the result of Zhou Houqing.

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What this paper is about

Sharing value with weight is an important thing in the uniqueness theory of meromorphic function.In 2005 Zhou Houqing proved a theorem about the uniqueness of meromorphic function,we consider if we can weak the condition CM to weight using the idea of sharing value with weight so as to get a better conclusion.We use the idea of weight to study the uniqueness of meromorphic function sharing one value.The conclusion improved the result of Zhou Houqing.

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Available abstract

Sharing value with weight is an important thing in the uniqueness theory of meromorphic function.In 2005 Zhou Houqing proved a theorem about the uniqueness of meromorphic function,we consider if we can weak the condition CM to weight using the idea of sharing value with weight so as to get a better conclusion.We use the idea of weight to study the uniqueness of meromorphic function sharing one value.The conclusion improved the result of Zhou Houqing.

Key concepts: Meromorphic function, Uniqueness, Value (mathematics), Mathematics, Uniqueness theorem for Poisson's equation, Function (biology), Pure mathematics, Mathematical economics

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