Algorithmic Methods for Special Functions by Computer Algebra
This is a now formally ended postdoc project (November 1999 until
October 2001) which was sponsored by
NWO, gebied Exacte Wetenschappen (project 61306565), was
coordinated by
Tom Koornwinder (KdV Institute,
Universiteit van Amsterdam) and
Nico Temme (CWI, Amsterdam),
and was performed by
Raimundas Vidunas, at present working at
National Kapodistrian University of Athens, Greece.
Papers and software produced in the project

paper
A generalization of Kummer's identity by R. Vidunas,
Rocky Mountain J. Math. 32 (2002), 919936;
arXiv:math.CA/0005095.
An accompanying Maple worksheet
kummer.mws
by R. Vidunas joint with T.H. Koornwinder, 2000.

Maple procedure
infhsum.mpl (version 4.29, 30 November 2005)
for extension of Zeilberger's algorithm to nonterminating series
(by R. Vidunas).
There is an
accompanying Maple worksheet
infhsum.mws
by R. Vidunas.
The procedure and worksheets call
W. Koepf's hsum9.mpl.
This material has been tested in Maple 7, 8 and 9.

paper
Symbolic evaluation of coefficients in
Airytype asymptotic expansions by R. Vidunas and N.M. Temme,
J. Math. Anal. Appl. 269 (2002), 317331;
arXiv:math.CA/0103184.
By the same authors:
an accompanying Maple package
airypcf.mpl
(version 3.0, 17 January 2001)
and a Maple worksheet
airypcf.mws
demonstrating the usage of the package.

paper
Contiguous relations of hypergeometric series by R. Vidunas,
J. Comput. Appl. Math. 153 (2003), 507519;
arXiv:math.CA/0109222 v4 corrects formulas (24) and (25) in that journal
article.
See also an accompanying Maple package
contiguous2f1.mpl and a Maple worksheet
contiguous2f1demo.mws illustrating
the usage of this package,

paper
Parabolic cylinder functions: examples of error bounds for
asymptotic expansions by N.M. Temme and R. Vidunas,
Anal. Appl. (Singap.) 1 (2003), 265288;
arXiv:math.CA/0205045.

paper
Transformations of some Gauss hypergeometric functions
by R. Vidunas,
J. Comput. Appl. Math. 178 (2005), 473487;
arXiv:math.CA/0310436.

preprint
Uniform convergence of hypergeometric series
by R. Vidunas,
arXiv:math.CA/0603646 v2.
Related papers and software produced outside the project
Literature
Further Software
General links
1to Tom Koornwinder's home page