ESTIMATE OF DISK NOT CONTAINING ROOTS OF POLYNOMIAL FUNCTIONS

Roshan Lal

doi:10.29121/granthaalayah.v10.i4.2022.4541

Authors

Roshan Lal Department of Mathematics V.S.K.C. Government Postgraduate College Dakpathar, Dehradun-248125, Uttarakhand, India

DOI:

https://doi.org/10.29121/granthaalayah.v10.i4.2022.4541

Keywords:

Polynomials, Bounds, Modulus, Disk, Region, Zeros, Roots

Abstract [English]

Let is a polynomial of degree. Also let coefficients of polynomial follow a certain pattern of decreasing or increasing in magnitude. Then we have many results for providing the regions containing all the roots of polynomial functions. Here, in this paper we prove a result that gives a disk or circular region containing no roots of function, Thereby our result finally gives annular region containing all roots of polynomial function and hence thereby improves the earlier proved .results.

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