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2009•Kyungpook mathematical journalOpen access

Uniqueness and Value-sharing of Entire Functions

Xiaojuan Li, Chao Meng

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Abstract

In this paper, we study the uniqueness problems on entire functions sharing one value.We improve and generalize some previous results of Zhang and Lin [11].On the one hand, we consider the case for some more general differential polynomials [f n P (f )] (k) where P (w) is a polynomial; on the other hand, we relax the nature of sharing value from CM to IM.

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In this paper, we study the uniqueness problems on entire functions sharing one value.We improve and generalize some previous results of Zhang and Lin [11].On the one hand, we consider the case for some more general differential polynomials [f n P (f )] (k) where P (w) is a polynomial; on the other hand, we relax the nature of sharing value from CM to IM.

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Available abstract

In this paper, we study the uniqueness problems on entire functions sharing one value.We improve and generalize some previous results of Zhang and Lin [11].On the one hand, we consider the case for some more general differential polynomials [f n P (f )] (k) where P (w) is a polynomial; on the other hand, we relax the nature of sharing value from CM to IM.

Key concepts: Uniqueness, Mathematics, Zhàng, Entire function, Value (mathematics), Polynomial, Pure mathematics, Differential (mechanical device)

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