Abhijit Banerjee
Kalyani Government Engineering College
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Publication
Featured researches published by Abhijit Banerjee.
Computers & Mathematics With Applications | 2007
Abhijit Banerjee
The paper deals with the problem of meromorphic functions sharing a small function with its derivative and improves the results of Yu [K.W. Yu, On entire and meromorphic functions that share small functions with their derivatives, J. Inequal. Pure Appl. Math. 4 (1) (2003) Art. 21 (Online: http://jipam.vu.edu.au/)], Lahiri-Sarkar [I. Lahiri, A. Sarkar, Uniqueness of meromorphic function and its derivative, J. Inequal. Pure Appl. Math. 5 (1) (2004) Art. 20 (Online: http://jipam.vu.edu.au/)] and a recent result of Zhang [Q.C. Zhang, Meromorphic function that shares one small function with its derivative, J. Inequal. Pure Appl. Math. 6 (4) (2005) Art. 116 (Online: http://jipam.vu.edu.au/)].
Kyungpook Mathematical Journal | 2009
Abhijit Banerjee
In the paper we prove some results related to the uniqueness of meromorphic as well as entire functions. Our results will improve and supplement several known results .
arXiv: Complex Variables | 2015
Abhijit Banerjee; Bikash Chakraborty
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].
Kyungpook Mathematical Journal | 2011
Abhijit Banerjee
Using the notion of weighted sharing of values we study the uniqueness of meromorphic functions when certain non-linear differential polynomials share the same 1-points. Though the main concern of the paper is to improve a result of Fang (5) but as a consequence of the main result we improve and supplement some former results of Lahiri-Sarkar (16), Fang-Fang(6) et. al.
Analysis | 2014
Abhijit Banerjee; Sujoy Majumder
Abstract The notion of weighted sharing of sets is employed to deal with the problem of uniqueness of meromorphic functions sharing three sets. We obtain two results which radically improve and extend a number of results in [2] and [3].
Kyungpook Mathematical Journal | 2009
Abhijit Banerjee
With the aid of weakly weighted sharing and a recently introduced sharing notion in [3] known as relaxed weighted sharing we investigate the uniqueness of meromorphic functions sharing a small function with its differential polynomials. Our results will improve and supplement all the results obtained by Zhang and Yang [17] as well as a substantial part of the results recently obtained by the present author [2] and thus provide a better answer to the questions posed by Yu [14] in this regard.
Complex Variables | 2004
Indrajit Lahiri; Abhijit Banerjee
In this article we prove Tumura–Clunie type theorems which improve some earlier results and as consequences of the main results we extend a theorem of Hayman.
Mathematica Slovaca | 2018
Abhijit Banerjee; Sanjay Mallick
Abstract We use the notion of weighted sharing of sets to improve a number of results in the uniqueness theory of meromorphic functions sharing three sets. We have also presented a new idea in the formation of one of the range sets in connection with the three shared set problems, which ultimately yields a better result than many existing result in some sense.
Journal of the Indian Mathematical Society | 2018
Abhijit Banerjee; Bikash Chakraborty
In the existing literature, many researchers consider the uniqueness of the power of a meromorphic function with its derivative counterpart share certain values or small functions. Here we consider the same problem under the aegis of a more general settings namely set sharing
Journal of Contemporary Mathematical Analysis-armenian Academy of Sciences | 2017
Abhijit Banerjee; Sujoy Majumder; Bikash Chakraborty
In this paper we prove some uniqueness theorems concerning the derivatives of meromorphic functions when they share three sets. The obtained results improve some recent existing results.