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Two meromorphic functions sharing sets concerning small functions

Ting-Bin Cao
대한수학회 (The Korean Mathematical Society)|2009.11|대한수학회보 (Bulletin of the KMS)|제46권 제6호|pp. 1189-1200

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참고문헌

키워드

meromorphic functionNevanlinna theorysmall function
주제분류수학

초록

The main purpose of this paper is to deal with the uniqueness of meromorphic functions sharing sets concerning small functions. We obtain two main theorems which improve and extend strongly some results due to R. Nevanlinna, Li-Qiao, Yao, Yi, Thai-Tan, and Cao-Yi.

Abstract

The main purpose of this paper is to deal with the uniqueness of meromorphic functions sharing sets concerning small functions. We obtain two main theorems which improve and extend strongly some results due to R. Nevanlinna, Li-Qiao, Yao, Yi, Thai-Tan, and Cao-Yi.

참고문헌 (10)

  1. Ting-Bin Cao, "On the multiple values and uniqueness of meromorphic functions sharing small functions as targets", 대한수학회보, 44(4), pp.631~640 (2007), 대한수학회
  2. Y.-H. Li, "On the uniqueness of meromorphic functions concerning small functions", Sci. China (A), 29, pp.891~900 (1999)
  3. R. Nevanlinna, "Einige Eindeutigkeitss¨atze in der Theorie der Meromorphen Funktionen", Acta Math, 48(3), pp.367~391 (1926)
  4. D. D. Thai, "Meromorphic functions sharing small functions as targets", Internat. J. Math, 16(4), pp.437~451 (2005)
  5. K. Yamanoi, "The second main theorem for small functions and related problems", Acta Math, 192(2), pp.225~294 (2004)
  6. W.-H. Yao, "Two meromorphic functions sharing five small functions in the sense Ek)(¯, f) = Ek)(¯, g)", Nagoya Math. J, 167, pp.35~54 (2002)
  7. H.-X. Yi, "On one problem of uniqueness of meromorphic functions concerning small functions", Proc. Amer. Math. Soc, 130(6), pp.1689~1697 (2002)
  8. H.-X. Yi, "Multiple values and uniqueness of meromophic functions", Chinese Ann. Math. Ser. A, 10(4), pp.421~427 (1989)
  9. H.-X. Yi, "On the uniqueness of meromorphic functions", Acta Math. Sinica, 31(4), pp.570~576 (1988)
  10. H.-X. Yi, "Uniqueness Theory of Meromorphic Functions, Mathematics and its Applications", pp.557~ (2003), Kluwer Academic Publishers Group

관련 논문AI추천

Meromorphic Functions Sharing a Small Function with Their DerivativesJilong Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제1호Meromorphic Function Sharing Two Small Functions with Its DerivativeKai Liu, Xiao-guang Qi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제2호Meromorphic Functions Sharing a Small Function with their Differential PolynomialsJilong Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제3호Unicity of mermorphic functions concerning shared functions with their differenceBingmao Deng, Dan Liu, Mingliang Fang대한수학회 · 대한수학회보2019 · 제56권 제6호Two meromorphic functions sharing four pairs of small functionsDuc Quang Si, Van An Nguyen대한수학회 · 대한수학회보2017 · 제54권 제4호THE UNIQUENESS THEOREMS OF MEROMORPHIC FUNCTIONS SHARING THREE VALUES AND ONE PAIR OF POLYNOMIALSHong-Xun Yi, Xiao-Min Li대한수학회 · 대한수학회보2010 · 제47권 제4호

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