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Normal Families and Uniqueness of Entire Functions and Their Derivatives

โœ Scribed by Jiang Ming Chang; Ming Liang Fang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
204 KB
Volume
23
Category
Article
ISSN
1439-7617

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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