数学季刊 ›› 2021, Vol. 36 ›› Issue (4): 376-389.doi: 10.13371/j.cnki.chin.q.j.m.2021.04.004
摘要: In this paper, we study the uniqueness of entire functions and prove the following theorem. Let f be a transcendental entire function of finite order. Then there exists at most one positive integer k, such that f ( z )∆ k c f ( z ) −R ( z ) has finitely many zeros, where R ( z ) is a non-vanishing rational function and c is a nonzero complex number. Our result is an improvement of the theorem given by Andasmas and Latreuch [1].
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