Uniqueness and differential polynomials of meromorphic functions sharing a nonzero polynomial

Title:

Uniqueness and differential polynomials of meromorphic functions sharing a nonzero polynomial

Creator:

Sahoo, Pulak

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:bffac6bd-468a-47b7-ad9a-c0c79c4ecd4a
uuid:bffac6bd-468a-47b7-ad9a-c0c79c4ecd4a
doi:10.21136/MB.2016.0018-14

Subject:

uniqueness, meromorphic function, differential polynomial, and weighted sharing

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Let k be a nonnegative integer or infinity. For a ∈ C ∪ {∞} we denote by Ek(a; f) the set of all a-points of f where an a-point of multiplicity m is counted m times if m ≤ k and k + 1 times if m > k. If Ek(a; f) = Ek(a; g) then we say that f and g share the value a with weight k. Using this idea of sharing values we study the uniqueness of meromorphic functions whose certain nonlinear differential polynomials share a nonzero polynomial with finite weight. The results of the paper improve and generalize the related results due to Xia and Xu (2011) and the results of Li and Yi (2011).

Language:

English

Rights:

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

Coverage:

297-313

Source:

Mathematica bohemica | 2016 Volume:141 | Number:3

Harvested from:

CDK

Metadata only:

false