2010•Journal of Jinan UniversityRequires access

the Theorems on systems of meromorphic ffunctions involving small functions

Lingyun Gao

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Abstract

By Nevanlinna theory of the value distribution of meromorphic functions and the theory of the uniqueness of meromorphic functions,some theorems on systems of meromorphic functions are investigated,some results of Yi Hong-xun are generalized,and the results obtained here are the theorems on systems of meromorphic functions involving small functions,which play a very important role in theory of the uniqueness of meromorphic functions.

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By Nevanlinna theory of the value distribution of meromorphic functions and the theory of the uniqueness of meromorphic functions,some theorems on systems of meromorphic functions are investigated,some results of Yi Hong-xun are generalized,and the results obtained here are the theorems on systems of meromorphic functions involving small functions,which play a very important role in theory of the uniqueness of meromorphic functions.

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Available abstract

By Nevanlinna theory of the value distribution of meromorphic functions and the theory of the uniqueness of meromorphic functions,some theorems on systems of meromorphic functions are investigated,some results of Yi Hong-xun are generalized,and the results obtained here are the theorems on systems of meromorphic functions involving small functions,which play a very important role in theory of the uniqueness of meromorphic functions.

Key concepts: Meromorphic function, Uniqueness, Mathematics, Nevanlinna theory, Pure mathematics, Uniqueness theorem for Poisson's equation, Algebra over a field, Mathematical analysis

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