Overview

This volume contains a collection of papers that focus on recent research in the broad field of special functions. The articles cover topics related to differential equations, dynamic systems, integrable systems, billiards, and random matrix theory. Linear classical special functions, such as hypergeometric functions, Heun functions, and various orthogonal polynomials and nonlinear special functions (e.g., the Painleve transcendents and their generalizations), are studied from different perspectives. This volume serves as a useful reference for a large audience of mathematicians and mathematical physicists interested in modern theory of special functions. It is suitable for both graduate students and specialists in the field.

Full Product Details

Author:   Galina Filipuk
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   807
ISBN:  

9781470474294

ISBN 10:   1470474298
Pages:   229
Publication Date:   28 February 2025
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Amilcar Branquinho, Ana Foulquie-Moreno, and Manuel Manas, Banded matrices and their orthogonality M. M. Castro, A. Foulquie-Moreno, and A. Fradi, Time-and-band limiting for matrix-valued orthogonal polynomials related with 2 x 2 hypergeometric operators Yang Chen and Shulin Lyu, Gaussian unitary ensembles with jump discontinuities, PDEs, and the coupled Painleve IV system Ewa Ciechanowicz, Properties of meromorphic solutions of certain equations via Nevanlinna theory Nicholas Ercolani, Joceline Lega, and Brandon Tippings, Map enumeration from a dynamical perspective Sean Gasiorek and Milena Radnovic, Periodic trajectories and topology of the integrable Boltzmann system P. R. Gordoa and A. Pickering, Higher-order nonlinear special functions: Painleve hierarchies, a survey Xing Li and Da-jun Zhang, The Lame functions and elliptic soliton solutions: Bilinear approach Egmont Porten and Cornelia Schiebold, From the operator KP equation to scalar and matrix-valued solutions

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Author Information

Galina Filipuk, University of Warsaw, Poland

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