본문 바로가기
KERD
논문KCI 등재

Results on meromorphic functions sharing three values CM in some angular domains

Xiao-Min Li|Xue-Feng Liu|Hong-Xun Yi
대한수학회 (The Korean Mathematical Society)|2016.07|대한수학회논문집 (Communications of the KMS)|제31권 제3호|pp. 467-481

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

shared valuesNevanlinna theorymeromorphic functionsmuniqueness theorems
주제분류수학

초록

We study the uniqueness question of transcendental meromorphic functions that share three values CM in some angular domains instead of the whole complex plane. The results in this paper extend the corresponding results in Zheng \cite{13, 14} and Yi \cite{10}. Some examples are given to show that the results in this paper, in a sense, are the best possible.

Abstract

We study the uniqueness question of transcendental meromorphic functions that share three values CM in some angular domains instead of the whole complex plane. The results in this paper extend the corresponding results in Zheng \cite{13, 14} and Yi \cite{10}. Some examples are given to show that the results in this paper, in a sense, are the best possible.

참고문헌 (14)

  1. A. Baernstein, "Proof of Edrei’s spread conjecture", Proc. London Math. Soc, 26, pp.418~434 (1973)
  2. I. N. Baker, "Sets of non-normality in iteration theory", J. London Math. Soc, 40, pp.499~502 (1965)
  3. W. Bergweiler, "Iteration of meromorphic functions", Bull. Amer.Math. Soc. (N.S.), 29(2), pp.151~188 (1993)
  4. A. Edrei, "Meromorphic functions with three radially distributed values", Trans. Amer. Math. Soc, 78, pp.276~293 (1955)
  5. A. Edrei, "Sums of deficiencies of meromorphic functions", J. Analyse Math, 14, pp.79~107 (1965)
  6. A. A. Goldberg, "Value Distribution of Meromorphic Functions Vol. 236" (2008), American Mathematical Society
  7. W. K. Hayman, "Meromorphic Functions" (1964), The Clarendon Press
  8. I. Laine, "Nevanlinna Theory and Complex Differential Equations" (1993), Walter de Gruyter
  9. R. Nevanlinna, "Le theoreme de Picard-Borel et la theorie des fonctions mromorphes" (1929), Gauthier-Villars
  10. C. C. Yang, "Uniqueness Theory of Meromorphic Functions" (2003), Kluwer Aca-demic Publishers
  11. L. Yang, "Borel directions of meromorphic functions in an angular domain", Sci. Sinica, pp.149~164 (1979)
  12. H. X. Yi, "Unicity theorems for meromorphic functions that share three values", Kodai Math. J, 18(2), pp.300~314 (1995)
  13. J. H. Zheng, "On Uniqueness of meromorphic functions with shared values in one angular domain", Complex Var. Theory Appl, 48(9), pp.777~785 (2003)
  14. J. H. Zheng, "On uniqueness of meromorphic functions with shared values in some angular domains", Canad. Math. Bull, 47(1), pp.152~160 (2004)

관련 논문AI추천

ANALYTIC FUNCTIONS SHARING THREE VALUES DM IN ONE ANGULAR DOMAIN이홍천, Ting-Bin Cao대한수학회 · 대한수학회지2008 · 제45권 제6호Some Further Results on Weighted Sharing of Values for Meromorphic Functions Concerning a Result of TerglaneHong-Xun Yi, Xiao-Min Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제3호Uniqueness and Value-sharing of Entire FunctionsChao Meng, Xiaojuan Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호Meromorphic Functions with Three Weighted Sharing ValuesHong-Xun Yi, Xiao-Min Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제4호Meromorphic Functions Sharing a Small Function with Their DerivativesJilong Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제1호THE UNIQUENESS THEOREMS OF MEROMORPHIC FUNCTIONS SHARING THREE VALUES AND ONE PAIR OF POLYNOMIALSHong-Xun Yi, Xiao-Min Li대한수학회 · 대한수학회보2010 · 제47권 제4호

이 간행물의 다른 논문 (20건)

Mappings of cubic setsChang Su Kim, 강정기pp. 423-431On semiderivations in $3$-prime near-ringsAbdelkarim Boua, Mohammad Ashrafpp. 433-445A complete formula for the order of appearance of the powers of Lucas numbersPrapanpong Pongsriiampp. 447-450Rough set theory applied to fuzzy filters in $BE$-algebras김철, 안선신pp. 451-460On the residual finiteness of certain polygonal products of free groups김관수pp. 461-466
원문 보기