Open AccessEntire Functions and Their Derivatives Share Two Finite Sets
Author(s) -
Chao Meng,
Pei-Chu Hu
Publication year - 2009
Publication title -
kyungpook mathematical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 19
eISSN - 1225-6951
pISSN - 0454-8124
DOI - 10.5666/kmj.2009.49.3.473
Subject(s) - mathematics , combinatorics , meromorphic function , entire function , uniqueness , constant (computer programming) , mathematical analysis , computer science , programming language
In this paper, we study the uniqueness of entire functions. We mainly obtain the following result: Let ) (z f and ) (z g be two non-constant entire functions, , 5 ≥ n k two positive integers, and let } , , { }, 1 : { 2 1 c b a S z z S n = = = where a, b, c are nonzero finite distinct constants satisfying ab c ac b bc a ≠ ≠ ≠ 2 2 2 , ,. I f )
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