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The centroid of the zeroes of a polynomial via certain Laguerre‐type operators
Author(s) -
Aloui Baghdadi,
Chammam Wathek,
Alhussain Ziyad A.
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6073
Subject(s) - laguerre polynomials , monic polynomial , mathematics , centroid , polynomial , type (biology) , operator (biology) , reciprocal polynomial , orthogonal polynomials , pure mathematics , matrix polynomial , mathematical analysis , geometry , ecology , biology , biochemistry , chemistry , repressor , gene , transcription factor
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.