본문 바로가기
KERD
논문KCI 등재

Uniqueness of Entire Functions and Differential Polynomials

Junfeng Xu|Hongxun Yi
대한수학회 (The Korean Mathematical Society)|2007.11|대한수학회보 (Bulletin of the KMS)|제44권 제4호|pp. 623-629

0

조회

0

다운로드

3

인용

0

참고문헌

주제분류수학

초록

Abstract

In this paper, we study the uniqueness of entire functionsand prove the following result: Let f and g be two nonconstant entirefunctions,n;m be positive integers. Iffn (fm 1)f0 and gn (gm 1)g0share 1 IM and n > 4m + 11, then f g. The result improves the resultof Fang-Fang.

참고문헌 (9)

  1. "Uniqueness of meromorphic functions and dierentialpolynomials", 44(5-6), pp.607~617 (2002)
  2. "Factorization of meromorphic functions and some open problems", Univ Lexington
  3. "Uniqueness theorems for meromorphic function", 35(2), pp.121~132 (2004)
  4. "On the uniqueness of entire functions", 41(1), pp.109~116 (2004)
  5. "Uniqueness theory of meromorphic functions, Mathematicsand its Applications, 557." (2003), Kluwer Academic Publishers Group, Dordrecht
  6. "Translated and revised from the 1982 Chinese origi-nal" (1993), Springer-Verlag Berlin; Science Press
  7. "A question of Gross and the uniqueness of entire functions", 138, pp.169~177 (1995)
  8. "Meromorphic functions that share one or two values", 28(1), pp.111~ (1995)
  9. "Meromorphic functions that share one or two values II", 22(2), pp.264~272 (1999)

관련 논문AI추천

On the uniqueness of entire functionsHuiling Qiu, Mingliang Fang대한수학회 · 대한수학회보2004 · 제41권 제1호Uniqueness 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 제4호Uniqueness of entire functions concerning differential polynomialsJiang-Tao Li, Ping Li대한수학회 · 대한수학회논문집2015 · 제30권 제2호

이 간행물의 다른 논문 (28건)

Some remarks on cotorsion envelopes of modules김해식, 송영무pp. 589-596The Quasi-Hadamard Products of Certain $p$-Valent Functions With Negative CoefficientsMohamed Kamal Aoufpp. 597-606On uniqueness of meromorphic functions when two differential monomials share one valueAbhijit Banerjeepp. 607-622On the multiple values and uniqueness of meromorphic functions sharing small functions as targetsHong-Xun Yi, Ting-Bin Caopp. 631-640On $\Pi$-Armendariz Rings류성주, 허찬, 박광석, 이창익pp. 641-649
원문 보기