DOI QR코드

DOI QR Code

ON A UNIQUENESS THEOREM OF H. UEDA

  • Lahiri, Indrajit (DEPARTMENT OF MATHEMATICS UNIVERSITY OF KALYANI) ;
  • Sahoo, Pulak (DEPARTMENT OF MATHEMATICS SILDA CHANDRA SEKHAR COLLEGE SILDA)
  • Published : 2010.05.01

Abstract

We prove a uniqueness theorem for meromorphic functions sharing three weighted values which improves some existing results.

Keywords

References

  1. T. C. Alzahary, Small functions and weighted sharing three values, Complex Var. Theory Appl. 50 (2005), no. 15, 1105-1124.
  2. T. C. Alzahary, Small functions of meromorphic functions sharing three values with finite weights, Indian J. Pure Appl. Math. 38 (2007), no. 4, 305-316.
  3. T. C. Alzahary and H. X. Yi, Weighted sharing three values and uniqueness of meromorphic functions, J. Math. Anal. Appl. 295 (2004), no. 1, 247-257. https://doi.org/10.1016/j.jmaa.2004.03.040
  4. G. G. Gundersen, Meromorphic functions that share three or four values, J. London Math. Soc. (2) 20 (1979), no. 3, 457-466. https://doi.org/10.1112/jlms/s2-20.3.457
  5. W. K. Hayman, Meromorphic Functions, The Clarendon Press, Oxford, 1964.
  6. I. Lahiri, Weighted sharing of three values and uniqueness of meromorphic functions, Kodai Math. J. 24 (2001), no. 3, 421-435. https://doi.org/10.2996/kmj/1106168813
  7. I. Lahiri, Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J. 161 (2001), 193-206.
  8. I. Lahiri, Weighted value sharing and uniqueness of meromorphic functions, Complex Variables Theory Appl. 46 (2001), no. 3, 241-253. https://doi.org/10.1080/17476930108815411
  9. I. Lahiri, On a result of Ozawa concerning uniqueness of meromorphic functions. II, J. Math. Anal. Appl. 283 (2003), no. 1, 66-76. https://doi.org/10.1016/S0022-247X(03)00188-4
  10. I. Lahiri, Sharing three values with small weights, Hokkaido Math. J. 36 (2007), no. 1, 129-142. https://doi.org/10.14492/hokmj/1285766655
  11. I. Lahiri, Weighted sharing of three values by meromorphic functions, Hokkaido Math. J. 37 (2008), no. 1, 41-58. https://doi.org/10.14492/hokmj/1253539586
  12. I. Lahiri and N. Mandal, Small functions and uniqueness of meromorphic functions, J. Math. Anal. Appl. 340 (2008), no. 2, 780-792. https://doi.org/10.1016/j.jmaa.2007.09.017
  13. I. Lahiri and A. Sarkar, On a uniqueness theorem of Tohge, Arch. Math. (Basel) 84 (2005), no. 5, 461-469. https://doi.org/10.1007/s00013-004-1217-6
  14. P. Li, Meromorphic functions sharing three values or sets CM, Kodai Math. J. 21(1998), no. 2, 138-152. https://doi.org/10.2996/kmj/1138043869
  15. P. Li and C. C. Yang, On the characteristics of meromorphic functions that share three values CM, J. Math. Anal. Appl. 220 (1998), no. 1, 132-145. https://doi.org/10.1006/jmaa.1997.5833
  16. X. M. Li and H. X. Yi, Meromorphic functions sharing three values, J. Math. Soc. Japan 56 (2004), no. 1, 147-167. https://doi.org/10.2969/jmsj/1191418699
  17. A. Z. Mohonko, The Nevanlinna characteristics of certain meromorphic functions, Teor. Funkcii Funkcional. Anal. i Priloien. No. 14 (1971), 83-87.
  18. H. Ueda, Unicity theorems for meromorphic or entire functions, Kodai Math. J. 3(1980), no. 3, 457-471. https://doi.org/10.2996/kmj/1138036267
  19. S. Z. Ye, Uniqueness of meromorphic functions that share three values, Kodai Math. J. 15 (1992), no. 2, 236-243. https://doi.org/10.2996/kmj/1138039600
  20. H. X. Yi, Meromorphic functions that share three values, Chinese Ann. Math. Ser. A 9 (1988), no. 4, 434-439.
  21. H. X. Yi, Unicity theorems for meromorphic functions that share three values, Kodai Math. J. 18 (1995), no. 2, 300-314. https://doi.org/10.2996/kmj/1138043427
  22. H. X. Yi, Meromorphic functions with weighted sharing of three values, Complex Var. Theory Appl. 50 (2005), no. 12, 923-934. https://doi.org/10.1080/02781070500183060