Further investigations on a question of Zhang and Lü

Abhijit Banerjee, Bikash Chakraborty

Abstract


In the paper taking the question of Zhang and Lü [15] into background, wepresent one theorem which will improve and extend results of Banerjee-Majumdar [2] and arecent result of Li-Huang [9].

Keywords


Meromorphic function, differential monomial, small function

Mathematics Subject Classification (2010)


30D35

References


Banerjee, A. "Uniqueness of meromorphic functions that share two sets."Southeast Asian Bull. Math. 31.1 (2007): 7–17.

Banerjee, A. and 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. 51.4 (2010): 565–576.

Brück, R. "On entire functions which share one value CM with their first derivative." Results Math. 30.1-2 (1996): 21–24.

Charak, K.S. and B. Lal. "Uniqueness of fn and P[f]." arXiv:1501.05092v1[math.CV]. 21 Jan 2015.

Chen, A. and G. Zhang. "Unicity of meromorphic function and its derivative." Kyungpook Math. J. 50.1 (2010): 71–80.

Hayman, W.K. "Meromorphic functions: Oxford Mathematical Monographs. Oxford: Clarendon Press, 1964.

Lahiri, I. "Weighted value sharing and uniqueness of meromorphic functions." Complex Variables Theory Appl. 469.3 (2001): 241–253.

Lahiri, I. and A. Sarkar. "Uniqueness of a meromorphic function and its derivative."JIPAM. J. Inequal. Pure Appl. Math. 5.1 (2004), Article 20.

Li, J.-D. and G.-X. Huang. "On meromorphic functions that share one small function with their derivatives." Palest. J. Math. 4.1 (2015): 91–96.

Mokhon’ko, A.Z. "On the Nevanlinna characteristics of some meromorphic functions." Theory of Functions, functional analysis and their applications. Izd-vo Khar’kovsk, Un-ta, 14 (1971): 83–87.

Mues, E. and N. Steinmetz. "Meromorphe Funktionen, die mit ihrer Ableitung Werte teilen." Manuscripta Math. 29.2-4 (1979): 195–206.

Rubel, L.A. and Ch.Ch. Yang. "Values shared by an entire function and its derivative." Lecture Notes in Math., Vol. 599, Springer, Berlin, 1977: 101–103.

Zhang, Q.C. "The uniqueness of meromorphic functions with their derivatives." Kodai Math. J. 21.2 (1998): 179–184.

Zhang, Q.C. "Meromorphic function that shares one small function with its derivative." JIPAM. J. Inequal. Pure Appl. Math. 6.4 (2005), Article 116.

Zhang, T. and W. Lü. " Notes on a meromorphic function sharing one small function with its derivative." Complex Var. Elliptic Equ. 53.9 (2008):857–867.


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