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On the uniqueness of entire functions

Huiling Qiu|Mingliang Fang
대한수학회 (The Korean Mathematical Society)|2004.02|대한수학회보 (Bulletin of the KMS)|제41권 제1호|pp. 109-116

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Abstract

In this paper, we study the uniqueness of entire functions andprove the following result: Let f(z) and g(z) be twononconstant entire functions, nge 7 a positive integer, and leta be a nonzero finite complex number. If f^{n}(z)(f(z)-1)f'(z)and g^{n}(z)(g(z)-1)g'(z) share a CM, then f(z)equiv g(z).The result improves the theorem due to ref. [3].

참고문헌 (7)

  1. "it A unicity theorem for entire functions}, concerning differential polynomials,", (9), pp.1343~1348 (2001)
  2. "{\it On dificiencies of differential polynomials II}", pp.107~ (1972)
  3. "{\it Unicity theory of meromorphic functions}" (1995), Science Press
  4. "{\it Entire unctions that share one value}", (1), pp.44~48 (1996)
  5. "{\it Uniqueness and value-sharing of meromorphic functions}", (2), pp.395~406 (1997)
  6. "{\it Uniqueness of meromorphic functions as governed by their differential polynomials}", (2), pp.147~156 (1997)
  7. "{\it Meromorphic functions sharing a set with 17 elements ignoring iplicities}", pp.85~92 (1999)

관련 논문AI추천

Uniqueness of Entire Functions and Differential PolynomialsHongxun Yi, Junfeng Xu대한수학회 · 대한수학회보2007 · 제44권 제4호Uniqueness of Meromorphic Functions with Deficient PolesAbhijit Banerjee, Indrajit Lahiri경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호Uniqueness of Meromorphic Functions and a Question of GrossHong-Xun Yi, Wei-Chuan Lin경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제3호Entire Functions That Share One Value With Their DerivativesFeng L, Junfeng Xu경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제3호On uniqueness of meromorphic functions when two differential monomials share one valueAbhijit Banerjee대한수학회 · 대한수학회보2007 · 제44권 제4호A NOTE ON NEVANLINNA’S FIVE VALUE THEOREMIndrajit Lahiri, Rupa Pal대한수학회 · 대한수학회보2015 · 제52권 제2호

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