Overview

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.

Full Product Details

Author:   Ahmad Barhoumi ,  Roozbeh Gharakhloo ,  Andrei Martinez-Finkelshtein
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470474966

ISBN 10:   1470474964
Pages:   210
Publication Date:   09 August 2025
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Forthcoming
Availability:   Not yet available  
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

Table of Contents

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

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Author Information

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.

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