Block orthogonal polynomials: II. Hermite and Laguerre standard block orthogonal polynomials
نویسندگان
چکیده
منابع مشابه
Block Orthogonal Polynomials: II. Hermite and Laguerre Standard Block Orthogonal Polynomials
The standard block orthogonal (SBO) polynomials Pi;n(x), 0 ≤ i ≤ 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 po...
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Constrained orthogonal polynomials have been recently introduced in the study of the HohenbergKohn functional to provide basis functions satisfying particle number conservation for an expansion of the particle density. More generally, we define block orthogonal (BO) polynomials which are orthogonal, with respect to a first Euclidean scalar product, to a given i-dimensional subspace Ei of polyno...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2007
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/40/10/010