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Uniqueness of Meromorphic Functions Concerning the Difference Polynomials

Hong-Xun Yi|Fanghong Liu
경북대학교 자연과학대학 수학과|2015.06|Kyungpook Mathematical Journal|제55권 제2호|pp. 411-427

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참고문헌

키워드

uniquenessmeromorphic functionsdifference polynomialssharing common value
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초록

In this article, we main study the uniqueness problem of meromorphic func- tion which difference polynomials sharing common values. We consider the entire function (fn(fm-1) ∏s j=1 f(z+cj)μj)(k) and the meromorphic function fn(fm-1) ∏s j=1 f(z+cj)μj to get the main results which extend Theorem 1.1 in paper[5] and theorem 1.4 in paper[6].

Abstract

In this article, we main study the uniqueness problem of meromorphic func- tion which difference polynomials sharing common values. We consider the entire function (fn(fm-1) ∏s j=1 f(z+cj)μj)(k) and the meromorphic function fn(fm-1) ∏s j=1 f(z+cj)μj to get the main results which extend Theorem 1.1 in paper[5] and theorem 1.4 in paper[6].

참고문헌 (18)

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  4. SS Bhoosnurmathand SR Kabbur, "Value Distribution and Uniqueness Theorems for Di®erence of Entire and Meromorphic Functions", International Journal of Analysis and Applications, 12, pp.4~136 (2013)
  5. Keyu Zhang., "the Value Distribution and Uniqueness of one Certain Type of Di®erental-Di®erence Polynomials", Acta Mathematica Scientis Series Manuscript, 34B(3), pp.719~728 (2014)
  6. Li, Yi, "Value distribution of certain di®erence polynomials of meromorphic functions", Rocky Mountain J. Math (2013)
  7. "Teor Funksii Funktsional Anal I Prilozhen", 1971, 83~87
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  10. R. G. Halburd., "Di®erence analogue of the lemma on the logarithmic derivative with applications to di®erence equations", J. Math. Anal. Appl., 314, pp.477C487~ (2006)
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  13. Xiao-Min Li, Hong-Xun Yi., "Value Sharing of Certain Di®erential Polyno- mials and Their Shifts of Meromorphic Functions", Comput. Methods Funct (2014)[DOI]
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  15. Raj Shree Dhar., "Uniqueness Theorems on Meromorphic Functions and their Di®er-ence Operators", Int. Journal of Math. Analysis, 7(3), pp.1489~1495 (2013)
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관련 논문AI추천

Zeros and Uniqueness of Difference Polynomials of Meromorphic FunctionsJia Dou, Xiaoguang Qi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호Uniqueness of Entire Functions and Differential Polynomials Sharing one ValueDa-Wei Meng, Xiao-Bin Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호Uniqueness and Value-sharing of Entire FunctionsChao Meng, Xiaojuan Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호An entire function sharing a polynomial with linear differential polynomialsGoutam Kumar Ghosh대한수학회 · 대한수학회논문집2018 · 제33권 제2호Unicity of mermorphic functions concerning shared functions with their differenceBingmao Deng, Dan Liu, Mingliang Fang대한수학회 · 대한수학회보2019 · 제56권 제6호Some results on uniqueness of meromorphic solutions of difference equationsXiao Ming Wang, Zong Sheng Gao대한수학회 · 대한수학회논문집2017 · 제32권 제4호

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