Uniqueness of meromorphic functions sharing a set in annuli

• Renukadevi S Dyavanal ^[1] ; Ashwini M Hattikal ^[1] ; Madhura M Mathai ^[1]
  1. [1] Karnatak University

     Karnatak University

     India

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 18, Nº. 1, 2016, págs. 1-14
• Idioma: inglés
• DOI: 10.4067/S0719-06462016000100001
• Enlaces
  • Texto completo
• Resumen
  • español

    El propósito de este artículo es investigar la unicidad de funciones meromorfas compartiendo un conjunto contando multiplicidad y también con peso 1 en un anillo.

  • English

    The purpose of this article is to investigate the uniqueness of meromorphic functions sharing a set with counting multiplicity and also with weight 1 in annuli.

• Referencias bibliográficas
  • Axler, S. (1986). Harmonic functions from a complex analysis view point. Amer. Math. Monthly. 93. 246-258
  • Cao, T.B,Deng, Z.S. (2012). On the uniqueness of meromorphic functions that share three or two finite sets on annuli. Proceedings of the Indian...
  • Cao, T.B,Yi, H.X,Xu, H.Y. (2009). On the multiple values and uniqueness of meromorphic functions on annuli. Comp. Math. Appl. 58. 1457-1465
  • Hayman, W.K. (1964). Meromorphic functions. Claredon Press. Oxford.
  • Khrystiyanyn, A.YA,Kondratyuk, A. A. (2005). On the Nevanlinna theory for meromorphic functions on annuli-I. Mathematychin Studii. 23. 19-30
  • Khrystiyanyn, A.YA,Kondratyuk, A.A. (2005). On the Nevanlinna theory for meromorphic functions on annuli-II. Mathematychin Studii. 24. 57-68
  • Lin, W.C,Yi, H.X. (2003). Uniqueness theorems for meromorphic functions that share three sets. Complex Variables. 48. 315-327
  • Xu, H.Y,Wu, Z.J. (2013). The shared set and uniqueness of meromorphic functions on annuli. Abst. Appl. Anal. 2013. 10
  • Yang, C.C,Hua, X.H. (1997). Uniqueness and value sharing of meromorphic functions. Ann. Acad. Sci. Fenn. Math. 22. 395-406
  • Yang, C.C,Yi, H.X. (1995). Uniqueness Theory of Meromorphic Functions. Kluwer Academic Publishers, Dordrecht,2003; Chinese originalScience...
  • Yang, L. (1993). Value Distribution Theory. Springer-Verlag. Berlin.