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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 one value

Banerjee A.

Demonstratio Mathematica

2007

Vol. 40, nr 1

65-75

We prove three uniqueness theorems concerning non linear dierential polynomials which will improve and supplement some earlier results given by Yang and Hua, Lahiri.

Differential polynomials and normality

Lahiri I., Dewan S.

Demonstratio Mathematica

2005

Vol. 38, nr 3

579--589

We prove some normality criteria for a family of meromorphic functions which improve and suppliment some earlier results.