Have a personal or library account? Click to login
Uniqueness theorems related to weighted sharing of two sets Cover

Uniqueness theorems related to weighted sharing of two sets

By: Pulak Sahoo and  Himadri Karmakar  
Open Access
|Mar 2019

References

  1. [1] A. Banerjee, Uniqueness of meromorphic functions sharing two sets with finite weight, Portugal. Math. (N. S.), 65 (2008), 81–93.10.4171/PM/1800
  2. [2] J. F. Chen, Uniqueness of meromorphic functions sharing two finite sets, Open Math., 15 (2017), 1244–1250.10.1515/math-2017-0102
  3. [3] J.B. Conway, Functions of One Complex Variable, Springer–Verlag, New York, 1973.10.1007/978-1-4615-9972-2
  4. [4] M. L. Fang and H. Guo, On meromorphic functions sharing two values, Analysis, 17 (1997), 355–366.10.1524/anly.1997.17.4.355
  5. [5] F. Gross, Factorization of meromorphic functions and some open problems, Complex Analysis (Proc. Conf. Univ. Kentucky, Lexington, KY, 1976), pp. 51–69, Lecture Notes in Math., Vol 599, Springer, Berlin, 1977.10.1007/BFb0096825
  6. [6] W. K. Hayman, Meromorphic functions, Clarendon Press, Oxford, 1964.
  7. [7] I. Lahiri, Weighted value sharing and uniqueness of meromorphic functions, Complex Var. Theory Appl., 46 (2001), 241–253.10.1080/17476930108815411
  8. [8] I. Lahiri, Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J., 161 (2001), 193–206.10.1017/S0027763000027215
  9. [9] I. Lahiri and A. Banerjee, Weighted sharing of two sets, Kyungpook Math. J., 46 (2006), 79–87.
  10. [10] P. Li and C. C. Yang, On the unique range sets for meromorphic functions, Proc. Amer. Math. Soc., 124 (1996), 177–185.10.1090/S0002-9939-96-03045-6
  11. [11] C. C. Yang, On deficiencies of differential polynomials II., Math. Z., 125 (1972), 107–112.10.1007/BF01110921
  12. [12] C. C. Yang and H. X. Yi, Uniqueness Theory of Meromorphic functions, Kluwer Academic Publishers, Dordrecht, 2003.10.1007/978-94-017-3626-8
  13. [13] B. Yi and Y. H. Li, The uniqueness of meromorphic functions that share two sets with CM, Acta Math. Sin., Chin. Ser., 55 (2012), 363–368 (in Chinese).
  14. [14] H. X. Yi, Uniqueness of meromorphic functions and a question of Gross, Sci. China. Ser. A, 37 (1994), 802–813.
  15. [15] H. X. Yi, Meromorphic functions that share one or two values, Complex Var. Theory Appl., 28 (1995), 1–11.10.1080/17476939508814833
  16. [16] H. X. Yi, On a question of Gross concerning uniqueness of entire functions, Bull. Austral. Math. Soc., 57 (1998), 343–349.10.1017/S0004972700031701
  17. [17] H. X. Yi, Meromorphic functions that share two sets, Acta Math. Sin., Chin. Ser., 45 (2002), 75–82 (in Chinese).
Language: English
Page range: 329 - 339
Submitted on: Jan 28, 2018
|
Published on: Mar 4, 2019
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2019 Pulak Sahoo, Himadri Karmakar, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.