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Uniqueness of entire functions

โœ Scribed by Jianming Chang; Mingliang Fang


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
195 KB
Volume
288
Category
Article
ISSN
0022-247X

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โœฆ Synopsis


Let f be a nonconstant entire function and let a be a meromorphic function satisfying

and a โ‰ก a is necessary. This extended a result due to Jank, Mues and Volkmann.


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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