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LOCALIZATION OF ZEROS OF POLAR POLYNOMIALS ON THE UNIT DISK

Authors

COSTAS SANTOS, ROBERTO SANTIAGO, Rehouma, Abdelhamid

External publication

No

Means

Rocky Mt. J. Math.

Scope

Article

Nature

Científica

JCR Quartile

✗

SJR Quartile

✗

Web

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85203140320&doi=10.1216%2frmj.2024.54.995&partnerID=40&md5=691c25513e72cdf080a2b03701cd4aeb

Publication date

01/08/2024

ISI

001303340300006

Scopus Id

2-s2.0-85203140320

DOI

10.1216/rmj.2024.54.995

Abstract

We derive a useful result about the zeros of the k-polar polynomials on the unit circle; in particular, we obtain a circular region containing all the zeros of these polynomials. Some examples are presented.

Keywords

orthogonal polynomials; polar polynomials; Laurent series; unit circle; location of zeros

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