uniqueness theorem for meromorphic functions concerning ...

256 SUBHAS S. BHOOSNURMATH, MILIND N. KULKARNI AND VAISHALI PRABHU[ n + 1=⇒ g =a( )] 1h − 1 nh n+1 − 1and f =[h nn + 1 ( )] 1h − 1 n.a h n+1 − 1Acknowledgments1. The second author thanks the University Grants Comission (India) for theaward of Teacher Fellowship under Faculty Improvement Programme.2. The authors thank the refrees for going through the paper carefully andmaking valuable suggestions towards the improvement of the paper.References[1] M. L. Fang and Hong Wei, A unicity theorem for entire function concerning differentialpolynomials, Indian Journal of Pure and Applied Mathematics, 32:9(2001), 1343-1348.[2] W. K. Hayman, Meromorphic Functions, Claredon Press, Oxford, 1964.[3] Weichuan Lin and Hong Xun Yi, Uniqueness theorem for meromorphic functions concerningfix points, Complex Variable Theory Appl., 49:11(2004), 793-806.[4] A. G. Puranik, Picard exceptional values, fix-points and related topics concerning differentialpolynomials, Ph.D thesis, Karnatak University Dharwad, 2002.[5] C. C. Yang, On deficiencies of differential polynomial II, Math. Z., 125(1972), 107-112.[6] C. C. Yang and X. Hua, Uniqueness and value sharing of meromorphic functions, Ann.Acd. Sci. Fenn. Math., 22(1997), 395-406.[7] L. Yang, Value Distribution Theory, Springer-Verlag, Berlin, 1993.[8] H. X. Yi, Meromorphic functions that share one or two values, Complex Variables ThoeryAppl., 28(1995), 1-11.Department of Mathematics, Karnatak University, Dharwad, India.E-mail: ssbmath@yahoo.comE-mail: meelind2000@yahoo.co.inE-mail: vaishali23nov@yahoo.co.in