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The centroid of the zeroes of a polynomial via certain Laguerre-type operators
Journal article   Peer reviewed

The centroid of the zeroes of a polynomial via certain Laguerre-type operators

Baghdadi Aloui, Wathek Chammam and Ziyad A. Alhussain
Mathematical methods in the applied sciences, Vol.43(5), pp.2656-2664
30/03/2020
DOI: https://doi.org/10.1002/mma.6073

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we present several properties of the centroid of the zeroes of a polynomial. As an illustration, we apply these results to the d-orthogonal polynomials. Finally, we provide the relationship between different centroids of a general monic polynomial and its image under a certain Laguerre-type operator.

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