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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.

Uniqueness of differential polynomials of meromorphic functions sharing a small function without counting multiplicity

Kieu-Oanh B. T., Thuy N. T. T.

Fasciculi Mathematici

2016

Nr 57

121--135

The paper concerns interesting problems related to the field of Complex Analysis, in particular Nevanlinna theory of meromorphic functions. The author have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a small function without counting multiplicity. The results of this paper are extension of some problems studied by K. Boussaf et. al. in [2] and generalization of some results of S.S. Bhoosnurmath et. al. in [4].

The frequency of the zeros of some differential polynomials

Belaïdi B.

Demonstratio Mathematica

2013

Vol. 46, nr 1

75--86

Let ρp(ƒ) and σp(ƒ) denote respectively the iterated p-order and the iterated p-type of an entire function ƒ. In this paper, we study the iterated order and the fixed points of some differential polynomials generated by solutions of the differential equation f''+A1(z)f'+A0(z)f=0 where A1(z), A0(z) are entire functions of finite iterated p-order such that ρp(A1) = ρp(A0) = ρ(0< ρ <+∞) and σp(A1)< σp(A0) =σ(0< σ <+∞).

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.