Nonlinear differential polynomials sharing a non-zero polynomial with finite weight

Title:

Nonlinear differential polynomials sharing a non-zero polynomial with finite weight

Creator:

Banerjee, Abhijit and Ahamed, Molla Basir

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:4247adc9-7fac-4cf4-a964-57019b17063f
uuid:4247adc9-7fac-4cf4-a964-57019b17063f
doi:10.21136/MB.2016.2

Subject:

uniqueness, meromorphic function, and nonlinear differential polynomial

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In the paper, dealing with a question of Lahiri (1999), we study the uniqueness of meromorphic functions in the case when two certain types of nonlinear differential polynomials, which are the derivatives of some typical linear expression, namely h n (h − 1)m (h = f, g), share a non-zero polynomial with finite weight. The results obtained in the paper improve, extend, supplement and generalize some recent results due to Sahoo (2013), Li and Gao (2010). In particular, we have shown that under a suitable choice of the sharing non-zero polynomial or when the first derivative is taken under consideration, better conclusions can be obtained.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

13-36

Source:

Mathematica bohemica | 2016 Volume:141 | Number:1

Harvested from:

CDK

Metadata only:

false