1. Recent Progress in Special Functions
- Author
-
Galina Filipuk and Galina Filipuk
- Subjects
- Functions, Special, Linear and multilinear algebra-- matrix theory--S, Special functions--Other special functions--Pa, Functions of a complex variable--Entire and mero, Ordinary differential equations--Differential eq, Special functions--Other special functions--El, Dynamical systems and ergodic theory--Finite-dim, Special functions--Hypergeometric functions--O, Harmonic analysis on Euclidean spaces--Nontrigon, Dynamical systems and ergodic theory--Infinite-d
- Abstract
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 Painlevé 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.
- Published
- 2024