# Signal processing, orthogonal polynomials, and Heun equations

## TL;DR

This paper surveys recent advances in Heun operators, exploring their connections with orthogonal polynomials, quadratic algebras, and applications in signal processing, particularly time and band limiting problems.

## Contribution

It provides a comprehensive overview of the latest developments in Heun operators and their applications in signal processing and orthogonal polynomial theory.

## Key findings

- Heun operators are linked to quadratic algebras and orthogonal polynomials.
- Differential and difference Heun operators relate to Jacobi and Hahn polynomials.
- Connections between Heun operators and signal processing problems are established.

## Abstract

A survey of recents advances in the theory of Heun operators is offered. Some of the topics covered include: quadratic algebras and orthogonal polynomials, differential and difference Heun operators associated to Jacobi and Hahn polynomials, connections with time and band limiting problems in signal processing.