LOCALIZATION OF ZEROS OF POLAR POLYNOMIALS ON THE UNIT DISK

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

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Publication Details

Journal
Rocky Mountain Journal of Mathematics
Published
2024-08-01
DOI
https://doi.org/10.1216/rmj.2024.54.995
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
0.00

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article

LOCALIZATION OF ZEROS OF POLAR POLYNOMIALS ON THE UNIT DISK

Roberto S. Costas-Santos, Abdelhamid Rehouma
Rocky Mountain Journal of Mathematics
Mathematical functions and polynomials
article

LOCALIZATION OF ZEROS OF POLAR POLYNOMIALS ON THE UNIT DISK

Roberto S. Costas-Santos, Abdelhamid Rehouma
article en

Abstract

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

Rocky Mountain Journal of MathematicsVol. 54(4)
Ministerio de Economía y Competitividad, Dirección General de Investigación Científica y Técnica
Reduced inequalities
Openalex Percentile: Top 77%
Mathematical functions and polynomials
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LOCALIZATION OF ZEROS OF POLAR POLYNOMIALS ON THE UNIT DISK — Roberto S. Costas-Santos, Abdelhamid Rehouma · Rocky Mountain Journal of Mathematics (2024) | TGRS Research Map | TGRS