Sobolev-Jacobi and Sobolev-Laguerre orthogonal polynomials

• Grant number: 24/23674-1
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: July 01, 2025
• End date: September 30, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Vanessa Avansini Botta Pirani
• Grantee: Lucas Tertuliano da Silva
• Supervisor: Kenier Castillo
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil
• Institution abroad: Universidade de Coimbra (UC), Portugal
• Associated to the scholarship: 24/01546-1 - On Sobolev orthogonal polynomials on the real line, BP.MS

Abstract

The main objective of this project is to complement the candidate's training regarding the study of the properties of Sobolev orthogonal polynomials on the real line, where the pair of associated positive measures forms a coherent pair of positive measures of the second kind on the real line. The classes of Sobolev-Jacobi and Sobolev-Laguerre polynomials will be studied.