Further investigations on a question of Zhang and Lü

Banerjee, Abhijit; Chakraborty, Bikash

doi:10.1515/aupcsm-2015-0008

Abstract

In the paper based on the question of Zhang and Lü [15], we present one theorem which will improve and extend results of Banerjee-Majumder [2] and a recent result of Li-Huang [9].

References

[1] A. Banerjee, Uniqueness of meromorphic functions that share two sets, Southeast Asian Bull. Math. 31 (2007), no. 1, 7-17. Cited on 115.
Search in Google Scholar
[2] A. Banerjee, S. Majumder, On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative, Comment. Math. Univ. Carolin. 51 (2010), no. 4, 565-576. Cited on 105, 107, 108 and 114.
Search in Google Scholar
[3] R. Brück, On entire functions which share one value CM with their first derivative, Results Math. 30 (1996), no. 1-2, 21-24. Cited on 106.
Search in Google Scholar
[4] K.S. Charak, B. Lal, Uniqueness of fn and P[f], arXiv:1501.05092v1[math.CV], 21 Jan 2015. Cited on 109 and 110.
Search in Google Scholar
[5] A. Chen, G. Zhang, Unicity of meromorphic function and its derivative, Kyungpook Math. J. 50 (2010), no. 1, 71-80. Cited on 108.
Search in Google Scholar
[6] W.K. Hayman, Meromorphic functions, Oxford Mathematical Monographs, Clarendon Press, Oxford 1964. Cited on 105, 109 and 112.
Search in Google Scholar
[7] I. Lahiri, Weighted value sharing and uniqueness of meromorphic functions, Complex Variables Theory Appl. 46 (2001), no. 3, 241-253. Cited on 107.
Search in Google Scholar
[8] I. Lahiri, A. Sarkar, Uniqueness of a meromorphic function and its derivative, JIPAM. J. Inequal. Pure Appl. Math. 5 (2004), no. 1, Article 20, 9pp. Cited on 106, 107 and 113.
Search in Google Scholar
[9] J.-D. Li, G.-X. Huang, On meromorphic functions that share one small function with their derivatives, Palest. J. Math. 4 (2015), no. 1, 91-96. Cited on 105 and 109.
Search in Google Scholar
[10] A.Z. Mokhon’ko, On the Nevanlinna characteristics of some meromorphic functions, in: Theory of Functions, functional analysis and their applications, Izd-vo Khar’kovsk, Un-ta, 14 (1971), 83-87. Cited on 112.
Search in Google Scholar
[11] E. Mues, N. Steinmetz, Meromorphe Funktionen, die mit ihrer Ableitung Werte teilen, Manuscripta Math. 29 (1979), no. 2-4, 195-206. Cited on 106.
Search in Google Scholar
[12] L.A. Rubel, Ch.Ch. Yang, Values shared by an entire function and its derivative, Complex analysis (Proc. Conf., Univ. Kentucky, Lexington, Ky., 1976), pp.101-103. Lecture Notes in Math., Vol. 599, Springer, Berlin, 1977. Cited on 106.
Search in Google Scholar
[13] Q.C. Zhang, The uniqueness of meromorphic functions with their derivatives, Kodai Math. J. 21 (1998), no. 2, 179-184. Cited on 107.
Search in Google Scholar
[14] Q.C. Zhang, Meromorphic function that shares one small function with its derivative, JIPAM. J. Inequal. Pure Appl. Math. 6 (2005), no. 4, Article 116, 13pp. Cited on 106, 107 and 109.
Search in Google Scholar
[15] T. Zhang, W. Lü, Notes on a meromorphic function sharing one small function with its derivative, Complex Var. Elliptic Equ. 53 (2008), no. 9, 857-867. Cited on 105, 107, 108, 109 and 110.
Search in Google Scholar

Further investigations on a question of Zhang and Lü

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