The centroid of the zeroes of a polynomial via certain Laguerre-type operators |
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| Authors: | Baghdadi Aloui Wathek Chammam Ziyad A. Alhussain |
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| Affiliation: | 1. Department of Electro mechanics, Higher Institute of Industrial Systems of Gabès, Gabès University, Gabès, Tunisia;2. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, P.O. Box 66, Al-Majmaah 11952 Saudi Arabia |
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| Abstract: | 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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| Keywords: | centroid of the zeroes d-orthogonal polynomials laguerre-type operators stirling numbers of second kind |
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