Abhijit BANERJEE, Pranab BHATTACHARJEE

7687

Uniqueness of derivatives of meromorphic functions sharing two or three sets

In the paper we consider the problem of uniqueness of derivatives of meromorphic functions when they share two or three sets and obtained five results which will improve all the existing results.
Anahtar Kelimeler:

Meromorphic functions, uniqueness, weighted sharing, derivative, shared set.

Uniqueness of derivatives of meromorphic functions sharing two or three sets

In the paper we consider the problem of uniqueness of derivatives of meromorphic functions when they share two or three sets and obtained five results which will improve all the existing results.
Keywords:

Meromorphic functions, uniqueness, weighted sharing, derivative, shared set.,

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  • Fang, M. and Guo, H. : On meromorphic functions sharing two values, Analysis, 17, 355-366 (1997). and Xu, W. : A note on a problem of Gross, Chinese J. Contemporary Math., 18(4), 395-402 (1997). and Lahiri, I : Unique range set for certain meromorphic functions, Indian J. Math., 45(2), 141-150 (2003).
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  • Li, P.and Yang, C. C. : On the unique range sets for meromorphic functions, Proc. Amer. Math. Soc., 124, 177-185 (1996).
  • Lin, W. C. and Yi,H.X. : Uniqueness theorems for meromorphic functions that share three sets, Complex Var. Theory Appl., 48 (4), 315-327 (2003). and Yi, H. X. : Some further results on meromorphic functions that share two sets, Kyungpook Math. J., , 73-85 (2003).
  • Mohon’ko, A. Z. : On the Nevanlinna characteristics of some meromorphic functions,. Theory of Functions. Funct. Anal. Appl., 14, 83-87 (1971).
  • Qiu,H. and Fang, M.L. : A unicity theorem for meromorphic functions, Bull. Malaysian Math. Sci. Soc., 25, 31-38 (2002).
  • Department of Mathematics, West Bengal State University, Barasat, North 24 Parganas West Bengal, 7000126, INDIA e-mail: abanerjee kal@yahoo.co.in e-mail: abanerjee kal@rediffmail.com.
  • Pranab BHATTACHARJEE Department of Mathematics, Hooghly Mohsin College, Chinsurah, Hooghly West Bengal 712101, INDIA
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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Uniqueness of derivatives of meromorphic functions sharing two or three sets

Abhijit BANERJEE, Pranab BHATTACHARJEE