Orthogonal Polynomials, Special Functions, Operator Theory and Applications

Home > Seminars > 2021 > Orthogonal Polynomials, Special Functions, Operator Theory and Applications

Orthogonal Polynomials, Special Functions, Operator Theory and Applications

 12 Jul 2021


  • Ana F. Loureiro, University of Kent
  • Thomas Bothner, University of Bristol
  • Adri Olde Daalhuis, University of Edinburgh
  • Walter Van Assche, KU Leuven, Belgium
  • Jani Virtanen, University of Reading


The seminar series finished on 12 July 2021.

Each seminar presented a seminar on the topics of orthogonal polynomials and special functions, operator theory and their remarkable applications to other fields of mathematics including analytic number theory, random matrix theory, numerical and computational methods and mathematical physics. The focus of discussion was on the fruitful interactions between numerical analysis, approximation theory, operator theory, spectral methods, combinatorics and the modern theory of orthogonal polynomials and special functions.

The series was organised by the OPSFOTA research network group funded by LMS. Due to the funding limitations it was restricted to researchers that are based in geographically close institutions: in the UK, University of Kent, University of Reading, King’s College London, Imperial College, University of Sussex, University College London and elsewhere in Europe KU Leuven (Belgium), Radboud Universiteit (the Netherlands) and Université Lille (France). The covid pandemic gave the opportunity to open the seminar series to anyone who liked to participate.

Future Events:

12 Jul 2021
Mirta Castro, Universidad de Sevilla

On a family of Jacobi type polynomials as eigenfunctions of 2x2 hypergeometric operators: Structural formulas

Past Events:

18 Jun 2020
Håkan Hedenmalm, KTH Stockholm

Gaussian analytic functions and operator symbols of Dirichlet type

25 Jun 2020
Grzegorz Swiderski, KU Leuven

About essential spectra of unbounded Jacobi matrices

02 Jul 2020
Emma Bailey, University of Bristol

Moments of moments

09 Jul 2020
Fredrik Johansson, INRIA Bordeaux

Special functions in Fungrim

16 Jul 2020
Sergey Denisov, University of Wisconsin

Continuity of weighted operators, Muckenhoupt weights, and Steklov problem for orthogonal polynomials

23 Jul 2020
Roozbeh Gharakhloo, Colorado State

A Riemann-Hilbert approach to asymptotic analysis of Toeplitz+Hankel determinants

30 Jul 2020
Manuela Girotti, University of Montreal

Fredholm Determinant Solutions of the Painlevé II Hierarchy and Gap Probabilities of Determinantal Point Processes

06 Aug 2020
Robert Milson, Dalhousie University

The adelic grassmannian and exceptional Hermite polynomials

13 Aug 2020
Maurice Duits, KTH

Limit shape fluctuations for q-distributions for boxed plane partitions via q-Hahn polynomials

20 Aug 2020
Robert Buckingham,, University of Cincinnati

Large-degree asymptotics of rational Painleve-IV solutions by the isomonodromy method

20 Aug 2020
Peter Miller, University of Michigan

Large-degree asymptotics of rational Painleve-IV solutions by the isomonodromy method

27 Aug 2020
W. Riley Casper, California State University

Fourier Algebras for Orthogonal Matrix Polynomials

03 Sep 2020
Giorgio Mantica, Università Degli Studi Dell’insubria

Computing the isospectral torus of finite sets of intervals via mappings of polynomial

17 Sep 2020
Margit Rösler, Paderborn University

Intertwining operators between Dunkl operators of type Bn

29 Oct 2020
Maxim Yattselev, Indiana University-Purdue University

On Hermite–Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports

26 Nov 2020
Benjamin Eichinger, Johannes Kepler University

Stahl-Totik regularity for orthogonal rational functions with real poles and GMP matrices

15 Feb 2021
Jose Luis Lopez, Universidad Publica de Navarra

Asymptotics of the canonical catastrophe integrals

01 Mar 2021
Anna Maltsev, Queen Mary University

Covariance formulas for fluctuations of linear spectral statistics for Wigner matrices with few moments

15 Mar 2021
María Ángeles Garcia-Ferrero, Universität Heidelberg

Exceptional Legendre polynomials and confluent Darboux transformations

29 Mar 2021
Kerstin Jordaan, University of South Africa

Generalised higher order Freud polynomials

19 Apr 2021
Alan Sokal, University College London & New York University

Multiple orthogonal polynomials and branched continued fractions: An unexpected connection

17 May 2021
Dan Dai, City University of Hong Kong

The distribution for the maximal height of non-intersecting Bessel paths

24 May 2021
Alexander Stokes, University College London & University of Warsaw

Identifying Painlevé equations related to orthogonal polynomials: the geometric approach

14 Jun 2021
Ahmad Barhoumi, University of Michigan

Asymptotics of Kissing Polynomials and their Recurrence Relations

28 Jun 2021
Ester Pérez Sinusía, Universidad de Zaragoza

Uniform convergent expansions of special functions in terms of elementary functions