Orthogonal polynomials and related topics

• Grant number: 13/11896-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2013
• End date: March 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Cleonice Fátima Bracciali
• Grantee: Paula Akari Fukushima
• 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
• Associated research grant: 09/13832-9 - Orthogonal polynomials, special functions and applications, AP.TEM

Abstract

The aim of this project is to provide the student a familiarity with the theory of orthogonal polynomials and various related topics, e.g., chain sequences, continued fractions, hypergeometric functions, differential equations and quadrature formulas. Thus, to prepare her for in the future, carry out research activities in areas of mathematical analysis, in particular to become researcher on topics related to orthogonal polynomials and its applications.