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On a Result of N. Terglane

Goutam Kumar Ghosh|Indrajit Lahiri
경북대학교 자연과학대학 수학과|2011.06|Kyungpook Mathematical Journal|제51권 제2호|pp. 195-204

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참고문헌

키워드

Meromorphic functionUniquenessWeighted sharingSmall function
주제분류수학

초록

We prove a uniqueness theorem for meromorphic functions sharing three weighted values, which improves a result given by N. Terglane in 1989 and a result given by X. M. Li and H. X. Yi in 2003. Some examples are provided to show that the result of the paper is best possible.

Abstract

We prove a uniqueness theorem for meromorphic functions sharing three weighted values, which improves a result given by N. Terglane in 1989 and a result given by X. M. Li and H. X. Yi in 2003. Some examples are provided to show that the result of the paper is best possible.

참고문헌 (13)

  1. T. C. Alzahary, "Small functions of meromorphic functions sharing three values with finite weights", Indian J. Pure Appl. Math, 38(4), pp.305~316 (2007)
  2. G. G. Gundersen, "Meromorphic functions that share three or four values", J. London Math. Soc, 20(2), pp.457~466 (1979)
  3. W. K. Hayman, "Meromorphic Functions" (1964), The Clarendon Press
  4. I. Lahiri, "Weighted sharing and uniqueness of meromorphic functions", Nagoya Math. J, 161, pp.193~206 (2001)
  5. I. Lahiri, "Weighted value sharing and uniqueness of meromorphic functions", Complex. Var. Theory Appl, 46(3), pp.241~253 (2001)
  6. I. Lahiri, "On a result of Ozawa concerning uniqueness of meromorphic functions II", J. Math. Anal. Appl, 283(1), pp.66~76 (2003)
  7. I. Lahiri, "Characteristic function of meromorphic functions sharing three values with finite weights", Complex Var. Theory Appl, 50(1), pp.69~78 (2005)
  8. I. Lahiri, "Sharing three values with small weights", Hokkaido Math. J, 36, pp.129~142 (2007)
  9. I. Lahiri, "Weighted sharing of three values by meromorphic functions", Hokkaido Math. J, 37, pp.41~58 (2008)
  10. X. M. Li, "A note on a unicity theorem of N. Terglane", Complex Var. Theory Appl, 48(2), pp.111~118 (2003)
  11. N. Terglane, "Identitätssätze in C meromorpher Funktionen als Ergebnis von Werteteilung" (1989), Diplomarbeit, RWTH Aachen
  12. C. C. Yang, "Uniqueness Theory of Meromorphic Functions" (2003), Kluwer Academic Publishers
  13. Q. C. Zhang, "A note on two results of Ueda and Mues", J. Math. Res, 31, pp.451~454 (1998)

관련 논문AI추천

Some 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 제3호Meromorphic Functions with Three Weighted Sharing ValuesHong-Xun Yi, Xiao-Min Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제4호ON A UNIQUENESS THEOREM OF H. UEDAIndrajit Lahiri, Pulak Sahoo대한수학회 · 대한수학회지2010 · 제47권 제3호Meromorphic Functions Sharing a Small Function with Their DerivativesJilong Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제1호Results on meromorphic functions sharing three values CM in some angular domainsHong-Xun Yi, Xiao-Min Li, Xue-Feng Liu대한수학회 · 대한수학회논문집2016 · 제31권 제3호Weighted Value Sharing and Uniqueness of Entire FunctionsPulak Sahoo경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제2호

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