학술논문

BRÜCK CONJECTURE-A DIFFERENT PERSPECTIVE.
Document Type
Article
Source
Communications Series A1 Mathematics & Statistics. 2016, Vol. 65 Issue 1, p71-86. 16p.
Subject
*POLYNOMIALS
*NUMBER theory
*EXISTENCE theorems
*MATHEMATICAL analysis
*GENERALIZATION
*MATHEMATICAL functions
Language
ISSN
1303-5991
Abstract
The purpose of the paper is to obtain some su¢ cient conditions for which two di¤erential polynomials sharing a small function satis…es conclusions of Brück [3] conjecture. The result present in the paper will unify, improve and generalize several existing results. We have exhibited a number of examples to show that some conditions used in the paper are essential. In the concluding part of the paper we propose two open problems for further investigations. [ABSTRACT FROM AUTHOR]