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Uniqueness and Value-sharing of Entire Functions

Xiaojuan Li|Chao Meng
경북대학교 자연과학대학 수학과|2009.12|Kyungpook Mathematical Journal|제49권 제4호|pp. 675-682

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키워드

uniquenesssharing valueentire function
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초록

In this paper, we study the uniqueness problems on entire functions sharing one value. We improve and generalize some previous results of Zhang and Lin [11]. On the one hand, we consider the case for some more general differential polynomials [fnP(f)](k) where P(w) is a polynomial; on the other hand, we relax the nature of sharing value from CM to IM.

Abstract

In this paper, we study the uniqueness problems on entire functions sharing one value. We improve and generalize some previous results of Zhang and Lin [11]. On the one hand, we consider the case for some more general differential polynomials [fnP(f)](k) where P(w) is a polynomial; on the other hand, we relax the nature of sharing value from CM to IM.

참고문헌 (11)

  1. M. L. Fang, "Uniqueness and value-sharing of entire functions", Comput. Math. Appl, 44, pp.828~831 (2002)
  2. M. L. Fang, "Entire functions that share one value", J. Nanjing Univ. Math. Biquarterly, 13(1), pp.44~48 (1996)
  3. W. K. Hayman, "Picard values of meromorphic functions and their derivatives", Ann. of Math, 70, pp.9~42 (1959)
  4. W. K. Hayman, "Meromorphic Functions" (1964), Clarendon Press
  5. C. Meng, "On unicity of entire functions concerning differential polynomials" (2009), International Journal of Modern Mathematics
  6. C. Meng, "Value sharing of entire functions", Appl. Math. E-Notes, 8, pp.179~185 (2008)
  7. Y. Xu, "Entire functions sharing one value IM", Indian J. Pure Appl. Math, 31, pp.849~855 (2000)
  8. C. C. Yang, "On deficiencies of differential polynomials II", Math. Z, 125, pp.107~112 (1972)
  9. C. C. Yang, "Uniquenessand value-sharing of meromorphic functions", Ann. Acad. Sci. Fenn. Math, 22(2), pp.395~406 (1997)
  10. L. Yang, "Value DistributionTheory" (1993), Springer-Verlag
  11. X. Y. Zhang, "Uniqueness and value-sharing of entire functions", J. Math. Anal. Appl, 343, pp.938~950 (2008)

관련 논문AI추천

Uniqueness of Entire Functions and Differential Polynomials Sharing one ValueDa-Wei Meng, Xiao-Bin Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호An entire function sharing a polynomial with linear differential polynomialsGoutam Kumar Ghosh대한수학회 · 대한수학회논문집2018 · 제33권 제2호Weighted Value Sharing and Uniqueness of Entire FunctionsPulak Sahoo경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제2호Meromorphic Functions Sharing a Small Function with Their DerivativesJilong Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제1호Uniqueness of Entire Functions that Share an Entire Function of Smaller Order with One of Their Linear Differential PolynomialsHong-Xun Yi, Xiao-Min Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호Meromorphic Functions Sharing a Small Function with their Differential PolynomialsJilong Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제3호

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