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http://dx.doi.org/10.14317/jami.2022.995

A NOTE ON THE UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING A UNIQUE RANGE SETS IM  

BHUVANESHWARI, T. (Department of Mathematics, School of Engineering, Presidency University)
RAJESHWARI, S. (Department of Mathematics, Presidency University, School of Engineering, Presidency University)
Publication Information
Journal of applied mathematics & informatics / v.40, no.5_6, 2022 , pp. 995-1002 More about this Journal
Abstract
In this paper, we study the uniqueness of meromorphic functions sharing a unique range sets Ignoring multiplicities. This paper improves the result of Pulak sahoo and Anjan Sarkar [15].
Keywords
Nevanlinna theory; meromorphic function; unique range set; sharing value;
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1 P. Li, C.C. Yang, On the unique range sets for meromorphic functions, Proc. Am. Math. Soc. 124 (1996), 177-185.   DOI
2 C.C. Yang, On deficiencies of differential polynomials II, Math. Z. 125 (1972), 107-112.   DOI
3 B. Yi, Y.H. Li, The uniqueness of meromorphic functions that share two sets with CM, Acta Math. Sin. Chin. Ser. 55 (2012), 363-368.
4 A. Banerjee, Meromorphic functions sharing one value, Int. J. Math. Math. Sci. 22 (2005), 3587-3598.   DOI
5 J.B. Conway, Functions of One Complex Variable, Springer, Berlin, 1973.
6 M.L. Fang, H. Guo, On meromorphic functions sharing two values, Analysis 17 (1997), 355-366.   DOI
7 I. Lahiri, Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J. 161 (2001), 193-206.   DOI
8 H.X. Yi, On a question of Gross concerning uniqueness of entire functions, Bull. Austral. Math. Soc. 57 (1998), 343-349.   DOI
9 Pulak Sahoo, Anjan Sarkar, On the uniqueness of meromorphic functions sharing two sets, Boletin de la Sociedad Matematica Mexicana 26 (2020), 417-423.   DOI
10 J.F. Chen, Uniqueness of meromorphic functions sharing two finite sets, Open Math. 15 (2017), 1244-1250.   DOI
11 F. Gross, Factorization of meromorphic functions and some open problems, In: Complex Analysis (Proc. Conf. Univ. Kentucky, Lexington, KY, 1976), Lecture Notes in Math, vol. 599, Springer, Berlin, 1977.
12 W.K. Hayman, Meromorphic Functions, Clarendon Press, Oxford, 1964.
13 I. Lahiri, Weighted value sharing and uniqueness of meromorphic functions, Complex Var. Theory Appl. 46 (2001), 241-253.
14 C.C. Yang, H.X. Yi, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, Dordrecht, 2003.
15 I. Lahiri, A. Banerjee, Weighted sharing of two sets, Kyungpook Math. J. 46 (2006), 79-87.
16 S. Rajeshwari, B. Venkateswarlu, S.N. Kumar, Uniqueness of Certain Types of DifferenceDifferential Polynomials Sharing a Small Function, Journal of applied mathematics and informatics 39 (2021), 839-850.   DOI
17 S. Rajeshwari, Value distribution theory of Nevanlinna, In Journal of physics: conference series 1597 (2020), p. 012046.   DOI
18 H.X. Yi, Meromorphic functions that share two sets, Acta Math. Sin. Chin. Ser. 45 (2002), 75-82.
19 H.X. Yi, Uniqueness of meromorphic functions and a question of Gross, Sci. China. Ser. A 37 (1994), 802-813.
20 H.X. Yi, Meromorphic functions that share one or two values, Complex Var. Theory Appl. 28 (1995), 1-11.   DOI
21 H.X. Yi, L.Z. Yang, Meromorphic functions that share two sets, Kodai Math. J. 20 (1997), 127-134.   DOI