brÜck猜想的复差分-差分模拟的一些结果

Pub Date : 2017-04-30 DOI:10.4134/CKMS.C160123

Min Chen, Zongsheng Gao

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引用次数: 1

摘要

摘要本文利用Nevanlinna理论和亚纯函数的唯一性理论研究了br ck猜想的微分-差分类似。换句话说，我们考虑∆ηf(z) = f(z+η)−f(z)和f(z)共享一个值或一个小函数，然后在某些条件下得到超越整个函数f(z)的精确表达式，其中η∈C \{0}是一个常数，使得f(z+η)−f(z) 6≡0。

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SOME RESULTS ON COMPLEX DIFFERENTIAL-DIFFERENCE ANALOGUE OF BRÜCK CONJECTURE

Abstract. In this paper, we utilize the Nevanlinna theory and uniqueness theory of meromorphic function to investigate the differential-difference analogue of Brück conjecture. In other words, we consider ∆ηf(z) = f(z+η)−f(z) and f (z) share one value or one small function, and then obtain the precise expression of transcendental entire function f(z) under certain conditions, where η ∈ C \ {0} is a constant such that f(z + η) − f(z) 6≡ 0.

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