Recent Developments in Orthogonal Polynomials

Ahmad Barhoumi, Roozbeh Gharakhloo, Andrei Martinez-Finkelshtein (Herausgeber)

Buch | Softcover

210 Seiten

2025
American Mathematical Society (Verlag)
978-1-4704-7496-6 (ISBN)

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Proceedings from an AMS Special Session in Boston delve into orthogonal polynomials by connecting classical theory with modern applications in approximation, integrable systems, and numerical linear algebra. Topics span exceptional, non?Hermitian, and multiple orthogonal polynomial studies, reflecting current research interest.

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.

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.

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

Erscheinungsdatum	14.08.2025
Reihe/Serie	Contemporary Mathematics
Zusatzinfo	254
Verlagsort	Providence
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-7496-4 / 1470474964
ISBN-13	978-1-4704-7496-6 / 9781470474966
Zustand	Neuware