Cleonice Fátima Bracciali

• Abstract

  There is a very interesting relation between orthogonal polynomials on the real line and Painlevé equations. More explicitly, the coefficients of the recurrence relation of semiclassical orthogonal polynomials generally lead to solutions of Painlevé equations (differential or discrete). Solutions of these Painlevé equations in terms of classical special functions are the most relevant. Fu…

  Painlevé equations and orthogonal polynomials on the unit circle, AP.R

• Abstract

  This research project aims to establish a collaboration between researchers from the group of Orthogonal Polynomials and Similars from UNESP-São José do Rio Preto and the researcher from the University of Bath, England. The central theme of the project is the development of a method based on Orthogonal Polynomials of Several Variables with the aim of applying it to the numerical calculati…

  Orthogonal polynomials and fast multipole method, AV.EXT

• Abstract

  This project deals with topics related to orthogonal polynomials and polynomials and functions that have similar characteristics to the orthogonal polynomials. It is well known that the coefficients of the three term recurrence relations satisfied by certain orthogonal polynomials are solutions of systems of equation which are integrable systems. In this project we intended to investiga…

  Orthogonal and Similar Polynomials with some analytical and numerical applications, AP.R

(Only some records are available in English at this moment)

• Abstract

  The objective of this project is to provide the student with familiarity with orthogonal polynomial theory and related topics, for example, differential equations, quadrature formulas, and hypergeometric functions. In this way, to prepare the student for future research activities in areas of applied mathematical analysis, in particular on topics related to orthogonal polynomials and thei…

  Orthogonal polynomials and differential equations, BP.IC

• 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…

  Orthogonal polynomials and related topics, BP.IC

• 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…

  Zeros of linear combination of orthogonal polynomials, BP.IC

(Only some records are available in English at this moment)