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Uniqueness of entire functions that share one value

โœ Scribed by Jun-Fan Chen; Xiao-Yu Zhang; Wei-Chuan Lin; Sheng-Jiang Chen

Book ID
108077294
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
815 KB
Volume
56
Category
Article
ISSN
0898-1221

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๐Ÿ“œ SIMILAR VOLUMES

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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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This paper deals with problems of the uniqueness of entire functions that share one value with their derivatives. The results in this paper generalize a result of Jank, Mues, and Volkmann and answer a question posed by H. Zhong and a question of Yi and Yang.

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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.