A STUDY OF POLYNOMIALS AND LOCATION OF ZEROES IN OPEN AND CLOSED DISCS

applied science

In this paper we are studding Study of polynomials and Location of zeroes in open and closed discs. Several analytical methods are used to derive estimates for part or all zeros of polynomials with complex coefficients and linear combinations of polynomials. Some results from Biernacki, Montel and Specht are strengthened or generalized. Some results are also obtained about the location of zeros of linear combinations of polynomials. The aim of this paper is to present a survey of certain results concerning the bounds for the modulii of the zeros of a polynomial. The problems of obtaining precise new limits, corrections and generalizations of some old results for the location of zeros of a polynomial are still of considerable interest. This topic is an active area of research in view of this fact and many yet unresolved questions. In the present paper, the zeros of the polynomials under consideration lie in annular regions. These areas can be improved, with additional conditions on the coefficient of repetition relation. For example, positivity allows correction of the annular region to some moon-like region.

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.