The centroid of the zeroes of a polynomial via certain Laguerre‐type operators | Zendy

Aloui Baghdadi | Zendy; Chammam Wathek | Zendy; Alhussain Ziyad A. | Zendy

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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.

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