본문 바로가기
KERD
논문KCI 등재

NORMAL FAMILIES AND SHARED HOLOMORPHIC FUNCTIONS

Feng Lu
대한수학회 (The Korean Mathematical Society)|2012.01|대한수학회보 (Bulletin of the KMS)|제49권 제1호|pp. 197-204

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

normal familyNevanlinna theorylinear differential polynomialholomorphic functionCauchy theorem
주제분류수학

초록

In this paper, we study the problem of normal families and deduce some results, which improve and generalize several related theo-rems obtained by Pang [7], Fang and Xu [3], Lu, Xu, and Yi [6]. Mean-while, some examples are given to show the sharpness of our results.

Abstract

In this paper, we study the problem of normal families and deduce some results, which improve and generalize several related theo-rems obtained by Pang [7], Fang and Xu [3], Lu, Xu, and Yi [6]. Mean-while, some examples are given to show the sharpness of our results.

참고문헌 (16)

  1. H. H. Chen, "Shared values and normal families of meromorphic func- tions", J. Math. Anal. Appl, 260(1), pp.124~132 (2001)
  2. H. H. Chen, "Normal families concerning shared values", Israel J. Math, 115, pp.355~362 (2000)
  3. M. L. Fang, "Normal families of holomorphic functions and shared values", Israel J. Math, 129, pp.125~141 (2002)
  4. M. L. Fang, "Normal families and shared values of meromorphic func- tions", Ann. Polon. Math, 80, pp.133~141 (2003)
  5. J. Grahl, "Entire functions sharing a polynomial with their derivatives and normal families", Analysis, 28(1), pp.51~61 (2008)
  6. F. Lu, "Uniqueness theorems and normal families of entire functions and their derivatives", Ann. Polon. Math, 95(1), pp.67~75 (2009)
  7. X. C. Pang, "Shared values and normal families", Analysis, 22(2), pp.175~182 (2002)
  8. X. C. Pang, "Normality and shared values", Ark. Mat, 38(1), pp.171~282 (2000)
  9. X. C. Pang, "Normal families and shared values", Bull. London Math. Soc, 32(3), pp.325~331 (2000)
  10. J. Schiff, "Normal Families" (1993), Springer-Verlag
  11. W. Schwick, "Sharing values and normality", Arch. Math, 59(1), pp.50~54 (1992)
  12. Y. Xu, "Normality criteria concerning sharing values", Indian J. Pure Appl. Math, 30(3), pp.287~293 (1999)
  13. Y. Xu, "An improvement of Montel's criterion", J. Math. Anal. Appl, 343(2), pp.1075~1079 (2008)
  14. L. Yang, "Value Distribution Theory" (1993), Springer-Verlag & Science Press
  15. C. C. Yang, "Uniqueness Theory of Meromorphic Functions" (2003), Science Press
  16. L. Zalcman, "Normal families: New perspectives", Bull. Amer. Math. Soc. (N.S.), 35(3), pp.215~230 (1998)

관련 논문AI추천

Normality concerning two families of meromorphic functionsBanarsi Lal, Virender Singh대한수학회 · 대한수학회논문집2020 · 제35권 제4호Notes on normal families of meromorphic functions sharing a set with their derivativesHong-Xun Yi, Kai-Mei Wang, Xiao-Min Li대한수학회 · 대한수학회보2014 · 제51권 제6호The Normality of Meromorphic Functions with Multiple Zeros and Poles Concerning Sharing ValuesWang You-Ming경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Further Results about the Normal Family of Meromorphic Functions and Shared SetsGuowei Zhang, Jianming Qi, Linlin Zhou경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제1호Normal Families and Shared Values of Meromorphic FunctionsChao Meng경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제2호Normality criteria for a family of meromorphic functions with multiple zerosGopal Datt, Poonam Rani, Yuntong Li대한수학회 · 대한수학회논문집2018 · 제33권 제3호

이 간행물의 다른 논문 (19건)

SOLVABILITY FOR A CLASS OF THE SYSTEMS OF THE NONLINEAR ELLIPTIC EQUATIONS정택선, 최규흥pp. 1-10INNER UNIFORM DOMAINS, THE QUASIHYPERBOLIC METRIC AND WEAK BLOCH FUNCTIONS김기원pp. 11-24CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD ENDOWED WITH A QUARTER SYMMETRIC METRIC CONNECTIONMobin Ahmadpp. 25-32THE LOG-CONVEXITY OF ANOTHER CLASS OF ONE-PARAMETER MEANS AND ITS APPLICATIONSZhen-Hang Yangpp. 33-47CHARACTERIZING COMPLEX LOCALLY MINKOWSKI SPACES BY HOLOMORPHIC SECTIONAL CURVATURERongmu Yan, Xinxiang Chenpp. 49-55
원문 보기