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Weighted Value Sharing and Uniqueness of Entire Functions

Pulak Sahoo
경북대학교 자연과학대학 수학과|2011.06|Kyungpook Mathematical Journal|제51권 제2호|pp. 145-164

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참고문헌

키워드

Meromorphic functionDifferential polynomialsUniqueness
주제분류수학

초록

In the paper, we study with weighted sharing method the uniqueness of entire functions concerning nonlinear di erential polynomials sharing one value and prove two uniqueness theorems, rst one of which generalizes some recent results in [10] and [16]. Our second theorem will supplement a result in [17].

Abstract

In the paper, we study with weighted sharing method the uniqueness of entire functions concerning nonlinear di erential polynomials sharing one value and prove two uniqueness theorems, rst one of which generalizes some recent results in [10] and [16]. Our second theorem will supplement a result in [17].

참고문헌 (17)

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  8. I. Lahiri, "Weighted value sharing and uniqueness of meromorphic functions", Complex Var. Theory Appl, 46, pp.241~253 (2001)
  9. I. Lahiri, "Weighted sharing of three values", Z. Anal. Anwendungen, 23, pp.237~252 (2004)
  10. L. Liu, "Uniqueness of meromorphic functions and differential polynomials", Comput. Math. Appl, 56, pp.3236~3245 (2008)
  11. C. C. Yang, "On deficiencies of differential polynomials II", Math. Z, 125, pp.107~112 (1972)
  12. C. C. Yang, "Uniqueness and value sharing of meromorphic functions", Ann. Acad. Sci. Fenn. Math, 22, pp.395~406 (1997)
  13. L. Yang, "Value Distribution Theory" (1993), Springer- Verlag
  14. H. X. Yi, "Uniqueness Theory of Meromorphic Functions" (1995), Science Press
  15. Q. C. Zhang, "Meromorphic function that shares one small function with its derivative", J. Inequal. Pure Appl. Math, 6 (2005)
  16. T. Zhang, "Uniqueness theorems on meromorphic functions sharing one value", Comput. Math. Appl, 55, pp.2981~2992 (2008)
  17. X. Y. Zhang, "Uniqueness and value sharing of entire functions", J. Math. Anal. Appl, 343, pp.938~950 (2008)

관련 논문AI추천

Certain Nonlinear Differential Polynomials Sharing a Nonzero Polynomial with Finite WeightAbhijit Banerjee, Pulak Sahoo경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Uniqueness and Value-sharing of Entire FunctionsChao Meng, Xiaojuan Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호WEIGHTED SHARING AND UNIQUENESS OF ENTIRE OR MEROMORPHIC FUNCTIONSSUBHAS S.BHOOSNURMATH, Veena L. Pujari대한수학회 · 대한수학회보2015 · 제52권 제1호Uniqueness 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 제2호Uniqueness of Certain Non-Linear Di erential Polynomials Sharing 1-PointsAbhijit Banerjee경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제1호

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