NEVANLINNA UNIQUENESS OF LINEAR DIFFERENCE POLYNOMIALS

作者:Li, Nan*; Korhonen, Risto; Yang, Lianzhong
来源:Rocky Mountain Journal of Mathematics, 2017, 47(3): 905-926.
DOI:10.1216/RmJ-2017-47-3-905

摘要

In this paper, we investigate shared value problems related to an entire function f(z) of hyper-order less than one and its linear difference polynomial L(f) = Sigma(k)(i=1) a(i) f(z + c(i)), where a(i), c(i) is an element of C. We give sufficient conditions in terms of weighted value sharing and truncated deficiencies, which imply that L(f) equivalent to f.

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