The Values of k-th Order of Entire Functions Share 1 CM with its Linear Differential Polynomial
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Abstract
In this paper, we discuss the values of k -th order of the entire functions which with its linear differential polynomial share 1 CM. We prove that if k (≥ 3) is an integer, for the given non-negative real number λ (may be infinity), then there exists an entire function ƒ(z) which with its linear differential polynomial share 1 CM, such that the k -th order of ƒ(z) is λ . MSC Classification: 30D35 , 30D20
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