Zeros of linear combination of orthogonal polynomials

• Grant number: 10/06338-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2010
• End date: January 31, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Cleonice Fátima Bracciali
• Grantee: Renato Atílio de Abreu
• 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

This project proposes to study the behavior of the zeros of orthogonal polynomials and also the behavior of the zeros of linear combination of orthogonal polynomials using polynomials orthogonal belonging to the same sequence or belonging to different sequences. Furthermore, project aims to familiarize the student with the theory and applications of orthogonal polynomials to, for example, to develop master's program in the area.