Affiliation:
1. Suzhou University of Science and Technology, Suzhou, P. R. China
Abstract
Abstract. The uniqueness problems of the j-th derivative of a meromorphic function f(z)
and the k-th derivative of its shift f(z + c) are investigated in this paper, where j, k are integers with 0 ⩽ j < k. We show that when f (j) (z) and f (k) (z + c) share one IM value and two partially shared values CM, the uniqueness result remains valid under some additional hypotheses. With one CM value and two partially shared values CM, a uniqueness theorem about the j-th derivative of f(z) and the k-th derivative of its shift f(z + c) is also proved.
Publisher
National Academy of Sciences of the Republic of Armenia
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