A uniqueness problem for entire functions related to Bruck's conjecture

Nguyen Van Thin; Ha Tran Phuong

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arXiv · 1701.04966

A uniqueness problem for entire functions related to Bruck's conjecture

Nguyen Van Thin·Ha Tran Phuong

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Abstract

In this paper, we prove a normal criteria for family of meromorphic functions. As an application of that result, we establish a uniqueness theorem for entire function concerning a conjecture of R. Bruck. The above uniqueness theorem is an improvement of a problem studied by L. Z. Yang et. al [14]. However, our method differs the method of L. Z. Yang et. al [14]. We mainly use normal family theory and combine it with Nevanlinna theory instead of using only the Nevanlinna theory as in [14].

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Nguyen Van Thin, Ha Tran Phuong. 2017-01-18. A uniqueness problem for entire functions related to Bruck's conjecture. https://arxiv.org/abs/1701.04966

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