On a class of biorthogonal polynomials on the unit circle

Autor(es)

Borrego-Morell, J. ^[1] ; Rafaeli, Fernando Rodrigo ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista UNESP, Dept Matemat Aplicada, Campus Sao Jose do Rio Preto, Sao Paulo - Brazil

^[2] Univ Fed Uberlandia, Fac Matemat, Uberlandia, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Analysis and Applications; v. 438, n. 1, p. 465-473, JUN 1 2016.
• Citações Web of Science: 2

Resumo

A system of biorthogonal polynomials with respect to a complex valued measure supported on the unit circle is considered and all the terms with bounds are explicitly given for the remainder of an asymptotic formula given by R. Askey for this system. An electrostatic interpretation for the zeros of a class of pars-orthogonal polynomials associated with the biorthogonal system is also considered. (C) 2016 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