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http://dx.doi.org/10.5666/KMJ.2013.53.2.191

Meromorphic Functions Sharing a Nonzero Polynomial IM  

Sahoo, Pulak (Department of Mathematics, University of Kalyani)
Publication Information
Kyungpook Mathematical Journal / v.53, no.2, 2013 , pp. 191-205 More about this Journal
Abstract
We study the uniqueness of meromorphic functions concerning nonlinear differential polynomials sharing a nonzero polynomial IM. Though the main concern of the paper is to improve a recent result of the present author [12], as a consequence of the main result we also generalize two recent results of X. M. Li and L. Gao [11].
Keywords
Uniqueness; Meromorphic function; Nonlinear Differential Polynomials;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 C. C. Yang, On deficiencies of differential polynomials II, Math. Z., 125(1972), 107-112.   DOI
2 T. C. Alzahary and H. X. Yi, Weighted value sharing and a question of I. Lahiri, Complex Var. Theory Appl., 49(2004), 1063-1078.   DOI   ScienceOn
3 A. Banerjee, Meromorphic functions sharing one value, Int. J. Math. Math. Sci., 22(2005), 3587-3598.
4 W. Bergweiler and X. C. Pang, On the derivative of meromorphic functions with multiple zeros, J. Math. Anal. Appl., 278(2003), 285-292.   DOI   ScienceOn
5 M. L. Fang, A note on a problem of Hayman, Analysis (Munich), 20(2000), 45-49.
6 I. Lahiri, Weighted value sharing and uniqueness of meromorphic functions, Complex Var. Theory Appl., 46(2001), 241-253.   DOI   ScienceOn
7 Q. C. Zhang, Meromorphic function that shares one small function with its derivative, J. Inequal. Pure Appl. Math., 6(2005), Art. 116.
8 W. K. Hayman, Meromorphic Functions, The Clarendon Press, Oxford (1964).
9 M. L. Fang and H. L. Qiu, Meromorphic functions that share fixed points, J. Math. Anal. Appl., 268(2002), 426-439.   DOI   ScienceOn
10 W. K. Hayman, Picard values of meromorphic Functions and their derivatives, Ann. of Math., 70(1959), 9-42.   DOI   ScienceOn
11 I. Lahiri, Value distribution of certain differential polynomials, Int. J. Math. Math. Sc., 28(2001), 83-91.   DOI   ScienceOn
12 I. Lahiri, On a question of Hong Xun Yi, Arch Math. (Brno), 38(2002), 119-128.
13 X. M. Li and L. Gao, Meromorphic functions sharing a nonzero polynomial CM, Bull. Korean Math. Soc., 47(2010), 319-339.   과학기술학회마을   DOI   ScienceOn
14 P. Sahoo, Uniqueness of meromorphic functions when two differential polynomials share one value IM, Mat. Vesnik, 62(2010), 169-182.
15 C. C. Yang and X. H. Hua, Uniqueness and value sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math., 22(1997), 395-406.
16 L. Yang, Value Distribution Theory, Springer- Verlag, Berlin, 1993.
17 H. X. Yi and C. C. Yang, Uniqueness Theory of Meromorphic Functions, Science Press, Beijing, 1995.