OPSFA Summer School – Orthogonal Polynomials, Special Functions and their Applications

Introduction to state of the art developments in the theory of Orthogonal Polynomials, Special Functions and their Applications with emphasis on harmonic and numerical analysis, number theory, and quantum information.

Course leader

Prof. Erik Koelink The Institute for Mathematics, Astrophysics and Particle Physics (IMAPP) Faculty of Science Radboud University Prof. Walter van Assche Department of Mathematics KU Leuven, Belgium

Target group

- Master
- PhD
- Post-doc

The course is aimed at PhD-students working in the fields where orthogonal polynomials and special functions are used and applied, or in the field of orthogonal polynomials and special functions itself. Postdocs in these fields, or postdocs wanting to make themselves acquainted with recent developments in these fields, can also participate. Advanced master students with an interest in these topics, or aspiring for a PhD-track, can participate as well.

Course aim

After this course:

- The participant is familiar with hypergeometric functions of several variables and understands the relation to harmonic analysis.
- The participant understands the role of orthogonal polynomials and special functions in quadrature rules and Krylov subspace methods.
- The participant knows what modular functions are, and understands its relation to group theory and complex analysis.
- The participant understands the role of orthogonal polynomials and quantum information, in particular in relation to perfect state transfer
- The participant is familiar with the basic results on matrix orthogonal polynomials, and its relation to matrix differential operators.