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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 473 - 481 (9page)
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In this paper, we study the uniqueness of entire functions and prove the following theorem. Let n(≥ 5), k be positive integers, and let S1={z:zn=1}, S2={a1,a2,...,a_m} where a1,a2,...,am are distinct nonzero constants.
If two nonconstant entire functions f and g satisfy Ef(S1,2)=Eg(S1,2) and [수식], then one of the following cases must occur: (1) f=tg, {a1,a2,...,am}=t{a1,a2,...,am}, where t is a constant satisfying [수식], where t, c, d are nonzero constants and t^{n}=1. The results in this paper improve the result given by Fang (M.L. Fang, Entire functions and their derivatives share two finite sets, Bull. Malaysian Math. Sc. Soc. 24(2001), 7-16).
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참고문헌 (11)
참고문헌 신청
A. Banerjee / 2005 / Meromorphic functions sharing one value / Int. J. Math. Math. Sci 22 : 3587 ~ 3598
Abhijit Banerjee / 2007 / On uniqueness of meromorphic functions when two differential monomials share one value / 대한수학회보 44 (4) : 607 ~ 622
C. C. Yang / 1972 / On de ciencies of di erential polynomials / Math. Z 125 : 107 ~ 112
F. Gross / 1977 / Factorization of meromorphic functions and some open problems / Springer
H. X. Yi / 1994 / On the uniqueness of meromorphic functions and a problem of Gross / Science in China 24 : 457 ~ 466
Abhijit Banerjee / 2007 / On uniqueness of meromorphic functions when two differential monomials share one value / 대한수학회보 44 (4) : 607 ~ 622
C. C. Yang / 1972 / On de ciencies of di erential polynomials / Math. Z 125 : 107 ~ 112
F. Gross / 1977 / Factorization of meromorphic functions and some open problems / Springer
H. X. Yi / 1994 / On the uniqueness of meromorphic functions and a problem of Gross / Science in China 24 : 457 ~ 466
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