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Generalization of Uniqueness of Meromorphic Functions Sharing Fixed Point
Department of Mathematics, Jnanabarathi Campus, Bangalore University, Bangalore, India
Department of Mathematics, Jnanabarathi Campus, Bangalore University, Bangalore, India
- 1 Department of Mathematics, Jnanabarathi Campus, Bangalore University, Bangalore, India
- 2 Department of Mathematics, Jnanabarathi Campus, Bangalore University, Bangalore, India
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Abstract
In this paper, we study the uniqueness problems of entire and meromorphic functions concerning differential polynomials sharing fixed point and obtain some results which generalize the results due to Subhas S. Bhoosnurmath and Veena L. Pujari [1].
KeywordsEntire FunctionsUniquenessMeromorphic FunctionsFixed PointDifferential Polynomials
- Bhoosnurmath, S.S. and Pujari, V.L. (2013) Uniqueness of Meromorphic Functions Sharing Fixed Point. International Journal of Analysis, 2013, Artical ID: 538027, 12 p.
- Yang, C.-C. and Yi, H.-X. (2003) Uniqueness Theory of Meromorphic Functions, Mathematics and Its Applications. Kluwer Academic Publishers, Dordrecht.
- Yang, L. (1993) Value Distribution Theory. Translated and Revised from the 1982 Chinese Original, Springer, Berlin.
- Lin, W.C. and Yi, H.X. (2004) Uniqueness Theorems for Meromorphic Functions Concerning Fixed-Points. Complex Variables, Theory and Application, 49, 793-806.
- Xu, J.-F., Lü, F. and Yi, H.-X. (2010) Fixed-Points and Uniqueness of Meromorphic Functions. Computers & Mathematics with Applications, 59, 9-17.
- Yang, C.C. (1972) On Deficiencies of Differential Polynomials, II. Mathematische Zeitschrift, 125, 107-112. http://dx.doi.org/10.1007/BF01110921
- Yi, H.X. (1990) Meromorphic Functions That Share Two or Three Values. Kodai Mathematical Journal, 13, 363-372.
- Frank, G. and Reinders, M. (1998) A Unique Range Set for Meromorphic Functions with 11 Elements. Complex Variables, Theory and Application, 37, 185-193.
- Waghamore, H.P. and Shilpa, N. (2014) Generalization of Uniqueness Theorems for Entire and Meromorphic Functions. Applied Mathematics, 5, 1267-1274. http://dx.doi.org/10.4236/am.2014.58118