Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure

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Author(s):	Bracciali, Cleonice F. ^[1] ; Silva, Jairo S. ^{[2, 3]} ; Ranga, A. Sri ^[1] Total Authors: 3
Affiliation:	^[1] IJNESP Univ Estadual Patslista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil ^[2] Univ Fed Maranhao, Dept Matemat, BR-65080805 Sao Luis, MA - Brazil ^[3] IJNESP Univ Estadual Patslista, IBILCE, Posgrad Matemat, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil Total Affiliations: 3
Document type:	Journal article
Source:	Applied Mathematics and Computation; v. 271, p. 820-831, NOV 15 2015.
Web of Science Citations:	3
Abstract
We consider nontrivial probability measures, obtained as simple modifications of the Lebesgue measure, which include mass points at z = 1 and z = i. The orthogonal polynomials, para-orthogonal polynomials and Toeplitz matrices associated with these measures are presented. (C) 2015 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	14/22571-2 - Orthogonal and Similar Polynomials with some analytical and numerical applications
Grantee:	Cleonice Fátima Bracciali
Support Opportunities:	Regular Research Grants


FAPESP's process:	09/13832-9 - Orthogonal polynomials, special functions and applications
Grantee:	Dimitar Kolev Dimitrov
Support Opportunities:	Research Projects - Thematic Grants