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Some Further Results on Weighted Sharing of Values for Meromorphic Functions Concerning a Result of Terglane
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In this paper, we deal with the problem of meromorphic functions that have three weighted sharing values, and obtain some uniqueness theorems which improve those given by N. Terglane, Hong-Xun Yi & Xiao-Min Li, and others. Some examples are provided to show that the results in this paper are best possible.
Abstract
In this paper, we deal with the problem of meromorphic functions that have three weighted sharing values, and obtain some uniqueness theorems which improve those given by N. Terglane, Hong-Xun Yi & Xiao-Min Li, and others. Some examples are provided to show that the results in this paper are best possible.
참고문헌 (15)
- T. C. Alzahary, "Weighted sharing three values and uniqueness of meromorphic functions", J. Math. Anal. Appl, 295, pp.247~257 (2004)
- G. G. Gundersen, "Meromorphic functions that share three or four values", J. London Math. Soc, 20, pp.457~566 (1979)
- W. K. Hayman, "Meromorphic Functions" (1964), The Clarendon Press, Oxford
- X. M. Li, "A note on a unicity theorem of N. Terglane", Complex Variables Theory Appl, 48, pp.111~118 (2003)
- I. Lahiri, "Weighted sharing and uniqueness of meromorphic functions", Nagoya Math. J, 161, pp.193~206 (2001)
- I. Lahiri, "Weighted sharing of three values and uniqueness of meromorphic functions", Kodai Math. J, 24, pp.421~435 (2001)
- I. Lahiri, "On a uniqueness theorem of Tohge", Arch. Math, 84, pp.461~469 (2005)
- X. M. Li, "Meromorphic functions sharing three values", J. Math. Soc. Japan, 56, pp.147~167 (2004)
- A. Z. Mokhon’ko, "On the Nevanlinna characteristics of some meromorphic functions, in: Theory of functions, functional analysis and their applications", Izd-vo Khar’kovsk. Un-ta, 14, pp.83~87 (1971)
- R. Nevanlinna, "Le Th´er`eme de Picard-Borel et La Th´eorie des Fonctions M´eromorphes" (1929), Gauthier-Villars, Paris
- N. Terglane, "Identit¨atss¨atze in C meromorpher Funktionen als Ergebnis von Werteteilung" (1989), Diplomarbeit, RWTH Aachen
- H. X. Yi, "Uniqueness Theory of Meromorphic Functions" (1995), Science Press, Beijing
- H. X. Yi, "On a result of Terglane concerning uniqueness of meromorphic functions", Indian J. pure appl. Math, 33, pp.1785~1798 (2002)
- H. X. Yi, "Meromorphic functions with weighted sharing of three values", Complex Variables Theory Appl, 50, pp.923~934 (2005)
- Q. C. Zhang, "Meromorphic functions sharing three values", Indian J. Pure Appl. Math, 30, pp.667~682 (1999)
관련 논문AI추천
On a Result of N. TerglaneGoutam Kumar Ghosh, Indrajit Lahiri경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제2호Meromorphic Functions with Three Weighted Sharing ValuesHong-Xun Yi, Xiao-Min Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제4호Weighted Value Sharing and Uniqueness of Entire FunctionsPulak Sahoo경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제2호Meromorphic 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 제3호Meromorphic Function Sharing Two Small Functions with Its DerivativeKai Liu, Xiao-guang Qi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제2호
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