## About Rec2ortho

Tom Koornwinder and
René Swarttouw
are writing together a procedure in Maple, called rec2ortho, which uses the
coefficients of a three-term recurrence relation for orthogonal polynomials
as input, and which returns the explicit system of OP's solving these recurrence
relations, provided it belongs to the Askey scheme or q-Askey scheme.
Eventually, this should also return associated OP's and other
explicit OP's which are not in the (q-)Askey scheme. At the moment,
the procedure only covers the OP's in the Askey scheme (q=1) up to the
level of 2 parameters (Jacobi, Meixner, etc.). The procedue can be used
in Maple 6, 7, 8 or 9.
The present version is 1b3
(completed on 16 July, 1998, for Maple V, Release 4 and 5, and tested
on 19 March, 2005 for Maple 9).
Compared to the first version (June 1996), many improvements have been
made. Work on extending the coverage of classes of OP's is still in progress.

The following files are available:

The project will be continued by Tom Koornwinder alone.
He welcomes questions, comments and suggestions about this project.

This work started as part of the larger project
*A computer implementation of the Askey-Wilson scheme*, on which
René Swarttouw worked during the period
January 1 - July 1, 1996 at
RIACA, Eindhoven.

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