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Szegö Type Polynomials

Grant number: 07/07620-3
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): April 01, 2008
Effective date (End): June 30, 2010
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Alagacone Sri Ranga
Grantee:Regina Litz Lamblim
Home Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
Associated research grant:03/01874-2 - Orthogonal and similar polynomials: properties and applications, AP.TEM


The principal objective of the doctoral research activities of Regina da Silva Lamblém is to study the Szegö type polynomials, given in relation to a moment functional with specfic properties defined on the space of Laurent polynomials. Among many others, the following topics will be considered: (a) bounds for the zeros and the existence of a three term recurrence relation for these polynomials. In particular, the caracterization of the three term recurrence relation so that the polynomials generated are Szegö type polynomials associated with some moment functional with the same properties; (b) associated para-orthogonal polynomials, three term recurrence relations for these polynomials, properties on their zeros and quadrature formulas; (c) numerical generation of the Szegö type polynomials and associated para-orthogonal polynomials. The current search activities of Regina, leading to her Masters degree (with a grant from FAPESP), will provide her with very good knowledge to carryout successfully her doctoral recearch activities.

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Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
LAMBLIM, Regina Litz. Polinômios tipo Szegö. 2011. 68 f. Doctoral Thesis - Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas. São José do Rio Preto.

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