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Uniqueness of entire functions sharing one value

✍ Scribed by Xiuqing Lin; Weichuan Lin

Book ID
108422483
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
234 KB
Volume
31
Category
Article
ISSN
0252-9602

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In this paper, we study the uniqueness of entire functions and prove the following theorem. Let f(z) and g(z) be two nonconstant entire functions, n, k two positive integers with n > 2k d-4. If [fn(z)](k) and [gn(z)](k) share 1 with counting the multiplicity, then either f(z) = Cl ecz, g(z) = c2e -c

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## a b s t r a c t In this paper, we deal with the uniqueness problems on entire or meromorphic functions concerning differential polynomials that share one value with the same multiplicities. Moreover, we greatly generalize some results obtained by Fang, Lin and Yi, Fang and Fang.