OrthogonalPolys

© 2017 John Abbott, Anna M. Bigatti
GNU Free Documentation License, Version 1.2



CoCoALib Documentation Index

Examples

User documentation

Here are some functions for constructing individual members of certain families of orthogonal polynomials.

Constructors and pseudo-constructors

Let n be a non-negative integer, and x a ring element (typically an indeterminate or a number). The functions below evaluate the corresponding polynomial at x: if x is an indeterminate then the polynomial itself is returned.

Maintainer documentation

Some of the Chebyshev functions are not used, but I left them there in case they ever become useful.

Bugs, shortcomings and other ideas

The dispatch functions for Hermite polynomials have not been tested; so I do not know if the criterion for choosing between "explicit" and "iterative" implementations actually makes any sense.

Main changes

2017