Special Functions and Orthogonal Polynomials

The workshop aims to offer a multi-faceted overview of contemporary research in orthogonal polynomials and special functions. A number of talks focus on the analysis of orthogonal polynomials themselves, such as asymptotic analysis of large degree behaviour. A second class of topics cover generalizations of orthogonal polynomials, such as polynomials of several variables, matrix-valued orthogonal polynomials or polynomials over curves and surfaces. Finally, polynomials as a tool in applications feature in talks on numerical simulations and other computational settings.

The study of orthogonal polynomials links to several branches of mathematics. In applications, they play a pivotal role in approximation methods and numerical simulations. As part of the
latter the workshop links to the other workshops “Approximation Theory and Computational Harmonic Analysis” and “Foundations of Numerical PDEs”, and to a lesser extent also with “Foundations of Data Science and Machine Learning” and “Information-based Complexity”.

Organizers

Speakers

Semi-plenary speakers

Invited speakers