A study on Szegö polynomials as reflection coefficients assume values greater than 1 in modulus

• Grant number: 06/01699-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: October 01, 2006
• End date: February 29, 2008
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Alagacone Sri Ranga
• Grantee: Regina Litz Lamblim
• Host 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

Abstract

We propose a study of polynomials which satisfy the same recurrence relation as the Szegö polynomials, however, with the restriction that the coefficients in the recurrence are larger than 1 in modulus.