A uniqueness problem for entire functions related to Bruck's conjecture
Complex Variables
2017-01-19 v1
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].
Keywords
Cite
@article{arxiv.1701.04966,
title = {A uniqueness problem for entire functions related to Bruck's conjecture},
author = {Nguyen Van Thin and Ha Tran Phuong},
journal= {arXiv preprint arXiv:1701.04966},
year = {2017}
}
Comments
16 page, To appear Math. Slovaca (2017)