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亚纯函数与其导数具有一个分担值(英)   总被引:1,自引:0,他引:1       下载免费PDF全文
1. IntroductionIh this paper a "meromorphic fUllction" will mean that is meromorphic in the wholecomplex plane. We say that two non-constant meromorphic functions f and g share avale c in the extended complex plane provided that f(4) = c if and only if g(to) = c.We will state weather a share vale is by CM (counting multiplicitics) or by iM (ignoringmultiplicities). We denote Ek)(c, f) the set of zeros of f(z) -- c with multiplicities less thenor equal to k (ignoring multiplicity), Nk)(h) de…  相似文献
2.
This research is a continuation of a recent paper due to the first four authors. Shared value problems related to a meromorphic function f(z) and its shift f(z+c), where cC, are studied. It is shown, for instance, that if f(z) is of finite order and shares two values CM and one value IM with its shift f(z+c), then f is a periodic function with period c. The assumption on the order of f can be dropped if f shares two shifts in different directions, leading to a new way of characterizing elliptic functions. The research findings also include an analogue for shifts of a well-known conjecture by Brück concerning the value sharing of an entire function f with its derivative f.  相似文献
3.
黄斌 《东北数学》2002,18(2):117-124
A problem of meromorphic functions that share two values is discussed, and two results recently obtained respectively by Yi H. X. and Song G. D. & Li N. are improved.  相似文献
4.
This paper is devoted to proving some uniqueness type results for an entire function f(z) that shares a common set with its shift f(z+c) or its difference operator Δcf. We also give some applications to solutions of non-linear difference equations related to a conjecture proposed by C.C. Yang.  相似文献
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