Properties and applications of orthogonal polynomials

• Grant number: 15/06941-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2015
• End date: December 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Vanessa Avansini Botta Pirani
• Grantee: Jéssica Ventura da Silva
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil

Abstract

This research project proposes the study of the properties of orthogonal polynomials on the real line, focusing on the behavior of its zeros. In addition, we will study some classes of classical orthogonal polynomials (Jacobi, Legendre, Chebyshev, Gegenbauer, Laguerre and Hermite) and some of its applications in quadrature formulas. Thus, it is intended that the candidate have a solid base of knowledge in this area to extend their studies in a post-graduation.