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Uniqueness of meromorphic functions of differential polynomials sharing a small function with finite weight

Waghamore Harina P., Bhoosnurmath Vijaylaxmi

Journal of Applied Analysis

2019

Vol. 25, nr 2

141--153

Let f be a non-constantmeromorphic function and a = a(z) (≢ 0,∞) a small function of f . Here, we obtain results similar to the results due to Indrajit Lahiri and Bipul Pal [Uniqueness of meromorphic functions with their homogeneous and linear differential polynomials sharing a small function, Bull. KoreanMath. Soc. 54 (2017), no. 3, 825-838] for a more general differential polynomial by introducing the concept ofweighted sharing.

Non-linear differential polynomials sharing small function with finite weight

Harina W. P., Rajeshwari S.

Fasciculi Mathematici

2017

Nr 58

57--75

The purpose of the paper is to study the uniqueness of entire and meromorphic functions sharing a small function with finite weight. The results of the paper improve and extend some recent results due to Abhijit Banerjee and Pulak Sahoo [3].

A uniqueness result on meromorphic functions sharing two sets II

Banerjee A., Majumder S., Mukherjee S.

Fasciculi Mathematici

2014

Nr 53

17--30

We employ the notion of weighted sharing of sets to deal with the well known question of Gross and obtain a unique-ness result on meromorphic functions sharing two sets which will improve an earlier result of Lahiri [15] and a recent one of Banerjee [2].

On Uniqueness of Meromorphic Functions Sharing Three Sets with Finite Weights

Banerjee A., Ahamed M. B.

Bulletin of the Polish Academy of Sciences. Mathematics

2014

Vol. 62, no. 3

243--256

We prove the uniqueness of meromorphic functions sharing some three sets with finite weights.

Non linear differential polynomials sharing fixed points with finite weights

Banerjee A., Sahoo P.

Demonstratio Mathematica

2013

Vol. 46, nr 1

51--62

We employ the notion of weighted sharing to investigate the uniqueness of meromorphic functions when two nonlinear differential polynomials share fixed points. The results of the paper improve and generalize the recent results due to Xu–Lu–Yi [10].