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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제33권 제5호
- 발행연도
- 2015.1
- 수록면
- 475 - 484 (10page)
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In this article, we deal with the uniqueness problems of meromorphic functions concerning differential polynomials and prove the following theorem. Let f and g be two nonconstant meromorphic functions, n ≥ 12 a positive integer. If f<sup>n</sup>(f<sup>3</sup> - 1)f′ and g<sup>n</sup>(g<sup>3</sup> - 1)g′ share (1, 2), f and g share ∞ IM, then f ≡ g. The results in this paper improve and generalize the results given by Meng (C. Meng, Uniqueness theorems for differential polynomials concerning fixed-point, Kyungpook Math. J. 48(2008), 25-35), I. Lahiri and R. Pal (I. Lahiri and R. Pal, Nonlinear differential polynomials sharing 1-points, Bull. Korean Math. Soc. 43(2006), 161-168), Meng (C. Meng, On unicity of meromorphic functions when two differential polynomials share one value, Hiroshima Math.J. 39(2009), 163-179).
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참고문헌 (18)
참고문헌 신청
A. Banerjee. / 2009 / Uniqueness of meromorphic functions whose n-th derivative share one or two values / Novi Sad J. Math 39:7~19
C. Y. Fang. / 2002 / Uniqueness of meromorphic functions and differential polynomials / Comput. Math. Appl 44:607~617
M. L. Fang. / 2001 / A unicity theorem for entire functions concerning differential polynimials / Indian J. Pure Appl. Math 32:1343~1348
W.K. Hayman / 1964 / Meromorphic Functions / Clarendon
I. Lahiri / 2001 / Weighted sharing and uniqueness of meromorphic functions / Nagoya Math. J 161:193~206
C. Y. Fang. / 2002 / Uniqueness of meromorphic functions and differential polynomials / Comput. Math. Appl 44:607~617
M. L. Fang. / 2001 / A unicity theorem for entire functions concerning differential polynimials / Indian J. Pure Appl. Math 32:1343~1348
W.K. Hayman / 1964 / Meromorphic Functions / Clarendon
I. Lahiri / 2001 / Weighted sharing and uniqueness of meromorphic functions / Nagoya Math. J 161:193~206
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