On Uniqueness of Meromorphic Functions Sharing Three Sets with Finite Weights

• Autorzy: Banerjee A. , Ahamed M. B.

Identyfikatory

DOI

10.4064/ba62-3-5

• Języki publikacji: EN

Abstrakty

EN

We prove the uniqueness of meromorphic functions sharing some three sets with finite weights.

Słowa kluczowe

EN

meromorphic functions; uniqueness; weighted sharing; shared set

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2014
• Tom: Vol. 62, no. 3
• Strony: 243--256
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Banerjee A.

• Department of Mathematics, University of Kalyani, Nadia, West Bengal 741235, India

autor

Ahamed M. B.

• Department of Mathematics, University of Kalyani, Nadia, West Bengal 741235, India

Bibliografia

• [1] A. Banerjee, Some uniqueness results on meromorphic functions sharing three sets, Ann. Polon. Math. 92 (2007), 261–274.
• [2] A. Banerjee, On uniqueness of meromorphic functions sharing three sets, Analysis 28 (2008), 299–312.
• [3] A. Banerjee, Some further results on the uniquenss of meromorphic functions sharing three sets, Southeast Asian Bull. Math. 34 (2010), 835–846.
• [4] A. Banerjee and P. Bhattacharajee, Uniqueness and set sharing of derivatives of meromorphic functions, Math. Slovaca 61 (2011), 197–214.
• [5] G. Frank and M. Reinders, A unique range set for meromorphic functions with 11 elements, Complex Var. Theory Appl. 37 (1998), 185–193.
• [6] W. K. Hayman, Meromorphic Functions, Clarendon Press, Oxford, 1964.
• [7] I. Lahiri, Value distribution of certain differential polynomials, Int. J. Math. Math. Sci. 28 (2001), 83–91.
• [8] I. Lahiri, Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J. 161 (2001), 193–206.
• [9] I. Lahiri, Weighted value sharing and uniqueness of meromorphic functions, Complex Var. Theory Appl. 46 (2001), 241–253.
• [10] W. C. Lin and H. X. Yi, Uniqueness theorems for meromorphic functions that share three sets, Complex Var. Theory Appl. 48 (2003), 315–327.
• [11] H. Y. Xu, H. X. Zhang and C. F. Yi, Uniqueness theorems for meromorphic functions that share three sets with weights, Novi Sad J. Math. 38 (2008), 71–81.
• [12] C. C. Yang, On deficiencies of differential polynomials II, Math. Z. 125 (1972), 107–112.
• [13] H. X. Yi, Uniqueness of meromorphic functions and question of Gross, Sci. China Ser. A 37 (1994), 802–813.
• [14] H. X. Yi, Meromorphic functions that share one or two values II, Kodai Math. J. 22 (1999), 264–272.