# Chebyshev and stuff

### Author: Han de Bruijn

Created: 2006 Dec

Revision: 2017 Mar

Chebyshev Polynomials have shown up in my homework as a by-product of Cosine
Expansions and DoubleGrid - TripleGrid Calculus:
Further musings on the subject have been motivated by a poster in the Usenet
group 'sci.math.num-analysis':
The technique to be employed preferrably for solving differential equations is
known as Heaviside's Operational Calculus, also called *Operator Calculus*.
This Operator Calculus is an absolute prerequisite for everything that follows
here. The next webpage provides a lucid exposition of the methods involved:

## Table of Contents

###

- Special Solutions
- Ladder Operators
- Whole Integer Solutions
- Half Integer Solutions
- Derivatives
- Generating Functions