This volume contains the proceedings of the AMS Special Session on Orthogonal Polynomials and their Applications, held January 4-7, 2023, in Boston as part of the Joint Mathematics Meetings. Orthogonal polynomials are classical objects with important connections to many areas of mathematics, such as approximation theory, integrable systems, and mathematical physics. This volume reflects the wide variety of topics of current interest in the orthogonal polynomial community. Specific topics appearing in this volume include exceptional orthogonal polynomials, non-Hermitian orthogonal polynomials, multiple orthogonal polynomials, and applications to numerical linear algebra and integrable probability.
Articles
Cade Ballew and Thomas Trogdon, The Akhiezer iteration
Ahmad Barhoumi, Pavel Bleher, Alfredo Deano and Maxim Yattselev, On Airy
solutions of P$_{\mathrm {II}}$ and the complex cubic ensemble of random
matrices, II
U. Fidalgo, Multi-orthogonal polynomials associated to a bulk queueing model
Roozbeh Gharakhloo and Karl Liechty, Bordered and framed Toeplitz and Hankel
determinants with applications in integrable probability
Alex Kasman and Robert Milson, Two useful facts about generating functions
Luke Paluso and Alex Kasman, Exceptional Hermite polynomials and
Calogero-Moser pairs
Steven H. Weintraub, Reverse orthogonal polynomials
Tewodros Amdeberhan and Victor H. Moll, The integrality of reverse Legendre
polynomials
Maxim L. Yattselev, On an identity by Ercolani, Lega, and Tippings
Ahmad Barhoumi, KTH Royal Institute of Technology, Stockholm, Sweden.
Roozbeh Gharakhloo, University of California Santa Cruz, CA.
Andrei Martinez-Finkelshtein, Baylor University, Waco, TX, and University of Almeria, Spain.
