UGC Approved Journal no 63975(19)

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Published in:

Volume 6 Issue 6
June-2019
eISSN: 2349-5162

UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975

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Published Paper ID:
JETIR1907H98


Registration ID:
222545

Page Number

670-676

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Title

Zero’s of a polynomial in a prescribed region with restricted complex coefficients

Abstract

The well known result in the theory of the distribution of zero’s of polynomial due to Enestrom – Kakeya states that if P(z)=a_n z^n+a_(n-1) z^(n-1)+⋯+a_1 z+a_0 is a polynomial of degree n, satisfying the condition a_n≥a_(n-1)≥⋯≥a_1≥a_0>0 Then all zero’s of Polynomial P(z) lie in |z|≤1. In this paper we present further generalization of the above result by considering polynomials with complex coefficients and locate the regions which contain the zero’s of a polynomial by putting restrictions on the coefficients.

Key Words

zero’s of polynomial, regions, coefficients.

Cite This Article

"Zero’s of a polynomial in a prescribed region with restricted complex coefficients ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.670-676, June 2019, Available :http://www.jetir.org/papers/JETIR1907H98.pdf

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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Cite This Article

"Zero’s of a polynomial in a prescribed region with restricted complex coefficients ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp670-676, June 2019, Available at : http://www.jetir.org/papers/JETIR1907H98.pdf

Publication Details

Published Paper ID: JETIR1907H98
Registration ID: 222545
Published In: Volume 6 | Issue 6 | Year June-2019
DOI (Digital Object Identifier):
Page No: 670-676
Country: Srinagar, Jammu & Kashmir, India .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication


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