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HAYMAN T DIRECTIONS OF MEROMORPHIC FUNCTIONS IN SOME ANGULAR DOMAINS

Nan Wu|Zu-Xing Xuan
대한수학회 (The Korean Mathematical Society)|2015.01|대한수학회보 (Bulletin of the KMS)|제52권 제1호|pp. 1-11

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참고문헌

키워드

orderangular domainHayman T directionP´olya peaks
주제분류수학

초록

This paper is devoted to investigate the singular directions of meromorphic functions in some angular domains. We will confirm the existence of Hayman T directions in some angular domains. This is a continuous work of Yang [8] and Zheng [10].

Abstract

This paper is devoted to investigate the singular directions of meromorphic functions in some angular domains. We will confirm the existence of Hayman T directions in some angular domains. This is a continuous work of Yang [8] and Zheng [10].

참고문헌 (12)

  1. A. A. Goldberg, "The Distribution of Values of Meromorphic Func-tions" (1970), Izdat. Nauk
  2. H. Guo, "On a new singular direction of meromorphic functions", Bull. Austral. Math. Soc, 69(2), pp.277~287 (2004)
  3. W. K. Hayman, "Meromorphic Functions" (1964), Clarendon, Press
  4. W. K. Hayman, "On the growth of a meromorphic function and its derivatives", Complex Variables Theory Appl, 12(1-4), pp.245~260 (1989)
  5. M. Tsuji, "Potential Theory in Modern Function Theory" (1959), Maruzen Co., Ltd
  6. S. Wang, "On some properties of Fatou and Julia sets of meromorphic functions", Doctor, pp.2002
  7. L. Yang, "Value Distribution and New Research" (1993), Springer-Verlag
  8. L. Yang, "Borel directions of meromorphic functions in an angular domain", Sci. Sinica, pp.149~164 (1979)
  9. Q. D. Zhang, "T directions and Borel directions of meromorphic functions of finite and positive order", Acta Math. Sinica, 50(2), pp.413~420 (2007)
  10. J. H. Zheng, "Value Distribution of Meromorphic Functions" (2010), Tsinghua University Press
  11. J. H. Zheng, "On transcendental meromorphic functions with radially distributed values", Sci. China Ser. A. Math, 47(3), pp.401~416 (2004)
  12. J. H. Zheng, "Hayman T directions of meromorphic functions", Taiwanese J. Math, 14(6), pp.2219~2228 (2010)

관련 논문AI추천

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