Publicação: Differential orthogonality: Laguerre and Hermite cases with applications
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Elsevier B.V.
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Let mu be a finite positive Borel measure supported on R, L[f] = xf ''+ (alpha +1 - x)f'with alpha > -1, or L[f] = 1/2f ''- xf', and m a natural number. We study algebraic, analytic and asymptotic properties of the sequence of monic polynomials {Q(n)}(n>m) that satisfy the orthogonality relationsintegral L[Q(n)](x)x(k)d mu(x) = 0 for all 0 <= k <= n - 1.We also provide a fluid dynamics model for the zeros of these polynomials. (C) 2015 Elsevier Inc. All rights reserved.
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Orthogonal polynomials, Ordinary differential operators, Asymptotic analysis, Weak star convergence, Hydrodynamic
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Inglês
Como citar
Journal Of Approximation Theory. San Diego: Academic Press Inc Elsevier Science, v. 196, p. 111-130, 2015.
