Differential orthogonality: Laguerre and Hermite cases with applications

Autor(es)

Borrego-Morell, J. ^[1] ; Pijeira-Cabrera, H. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista, UNESP, IBILCE, Sao Paulo - Brazil

^[2] Univ Carlos III Madrid, E-28903 Getafe - Spain

• Tipo de documento: Artigo Científico
• Fonte: Journal of Approximation Theory; v. 196, p. 111-130, AUG 2015.
• Citações Web of Science: 0

Resumo

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 relations integral 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. (AU)

• Processo FAPESP: 12/21042-0 - Polinômios ortogonais com relação a operadores diferenciais e polinômios ortogonais matriciais
• Beneficiário: Jorge Alberto Borrego Morell
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado