Block orthogonal polynomials: II. Hermite and Laguerre standard block orthogonal polynomials

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dc.creatorNormand, Jean-Marie
dc.date2006-06-16
dc.date2007-03-12
dc.date.accessioned2026-07-07T07:51:06Z
dc.date.available2026-07-07T07:51:06Z
dc.descriptionThe standard block orthogonal (SBO) polynomials $P_{i;n}(x), 0\le i\le n$ are real polynomials of degree $n$ which are orthogonal with respect to a first Euclidean scalar product to polynomials of degree less than $i$. In addition, they are mutually orthogonal with respect to a second Euclidean scalar product. Applying the general results obtained in a previous paper, we determine and investigate these polynomials when the first scalar product corresponds to Hermite (resp. Laguerre) polynomials. These new sets of polynomials, we call Hermite (resp. Laguerre) SBO polynomials, provide a basis of functional spaces well-suited for some applications requiring to take into account special linear constraints which can be recast into an Euclidean orthogonality relation.
dc.descriptionThis is a reduced version of the initial manuscript, the number of pages being reduced from 45 to 32
dc.identifierhttps://arxiv.org/abs/math-ph/0606038
dc.identifierhttp://arxiv.org/abs/math-ph/0606038
dc.identifierJ. Phys. A: Math. Theor. 40 (2007) 2371-2405
dc.identifierdoi:10.1088/1751-8113/40/10/010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125393
dc.subjectMathematical Physics
dc.subject11C08; 15A03; 15A63; 33C45; 33D45;42C05
dc.titleBlock orthogonal polynomials: II. Hermite and Laguerre standard block orthogonal polynomials
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