On Sobolev orthogonal polynomials on the real line

• Grant number: 24/01546-1
• Support Opportunities: Scholarships in Brazil - Master
• Start date: June 01, 2024
• Status: Discontinued
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Vanessa Avansini Botta Pirani
• Grantee: Lucas Tertuliano da Silva
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil
• Associated scholarship(s): 24/23674-1 - Sobolev-Jacobi and Sobolev-Laguerre orthogonal polynomials, BE.EP.MS

Abstract

The main objective of this project is the study of the properties of Sobolev orthogonal polynomials on the real line, involving research into both general theory and that involving some special classes, such as Sobolev-Jacobi and Sobolev-Laguerre. Furthermore, we will consider the case in which the pair of related positive measures form a coherent pair of positive measures of the second type on the real line, focusing on the connection formulas existing between Sobolev's orthogonal polynomials and the associated orthogonal polynomials on the real line. The behavior of zeros will also be analyzed.