Browsing by Author "Bouras, Mohamed Cherif"

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    2-Orthogonal Polynomials and Darboux Transforms
    (University of Eloued جامعة الوادي, 2019-04-23) Faghmous, Chadia; Bouras, Mohamed Cherif; Ali Khelil, Karima
    In this work we present a new interpretation of Darboux transforms in the context of 2-orthogonal polynomials and nd condi- tions in order for any Darboux transform to yield a new set of 2- orthog- onal polynomials. We also introduce the LU and UL factorizations of the monic Jacobi matrix associated with a quasi-de nite linear functional de ned on the linear space of polynomials with real coe¢ cients.