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http://dx.doi.org/10.4134/BKMS.2004.41.1.109

ON THE UNIQUENESS OF ENTIRE FUNCTIONS  

Qiu, Huiling (Department of Mathematics, Nanjing Normal University)
Fang, Mingliang (Department of Mathematics, Nanjing Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.41, no.1, 2004 , pp. 109-116 More about this Journal
Abstract
In this paper, we study the uniqueness of entire functions and prove the following result: Let f(z) and g(z) be two nonconstant entire functions, $n\;{\geq}\;7$ a positive integer, and let a be a nonzero finite complex number. If $f^{n}(z)(f(z)\;-\;1)f share a CM, then $f(z)\;{\equiv}\;g(z)$. The result improves the theorem due to ref. [3].
Keywords
entire function; sharing value; uniqueness;
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  • Reference
1 Meromorphic functions sharing a set with 17 elements ignoring multiplicities /
[ S.Bartels ] / Complex Variables   DOI
2 /
[ L.Yang ] / Value distribution theory
3 /
[ W.K.Hayman ] / Meromorphic functions
4 /
[ H.X.Yi;C.C.Yang ] / Unicity theory of meromorphic functions
5 On dificiencies of differential polynomials II /
[ C.C.Yang ] / Math. Z.   DOI
6 Uniqueness of meromorphic functions as governed by their diferential polynomials /
[ I.Lahiri ] / Tokohama Math. J.
7 Entire functions that share one value /
[ M.L.Fang;X.H.Hua ] / J. of Nanjing Univ. Mathematical Biquarterly
8 Uniqueness and value-sharing of meromorphic functions /
[ C.C.Yang;X.H.Hua ] / Ann. Acad. Sci. Fenn. Math.
9 A unicity theorem for entire functions, concerning differential polynomials /
[ M.L.Fang;W.Hong; ] / Indian J. of Pure and Appl. Math.
10 /
[ R.Nevanlinna ] / Le thoreme de Picard-Borel et la theorie des fonctions meromorphes