A class of orthogonal functions that satisfy a three-term recurrence formula

• Grant number: 15/22098-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2016
• End date: December 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Alagacone Sri Ranga
• Grantee: Gustavo Andreto Marcato
• 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 consider a class of functions satisfying a certain orthogonality property for which there also exists a three-term recurrence formula. This class of functions, which can be considered as an extension to the class of symmetric orthogonal polynomials on [-1,1], has a complete connection to orthogonal polynomials on the unit circle. Interpolators properties, quadrature rules and other properties based on the zeros of these functions will also considered.