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Don Ramirez and I collaborated on an algorithm for finding the surface measure of ellipsoids in N-dimensional space (in fact this evaluates a Lauricella F-D type function). The algorithm and its derivation appeared in ACM TOMS 20 (1994), pp. 413-426, 427-435. Click here for the Fortran code

Also the Lauricella F-D is used to compute generalized F-distributions, (Australian & New Zealand J. Stat. 43(2001), 21-31) see math.CA/9906095 .

The abstract of my paper Intertwining operators and polynomials associated with the symmetric group . , Monatsh. Math. 126(1998), 181-209 ( there is a gzipped ps preprint (110K) ). The sequel Intertwining Operators of Type B_N , CRM Proceedings and Lecture Notes, vol. 22, 1999, pp.119-134 is here (compressed ps.gz file, 77K).

An article in J. Symb. Comp 28(1999), 819-826 , the proceedings of the ISAAC 1997 session on "Orthogonal Polynomials and Computer Algebra": Computing with Differential-Difference Operators" , (ps, 170k, revised 4/30/98); there is an accompanying Maple V, Release 4, worksheet with procedures and examples .

Algorithms for computing non-symmetric Jack and associated Hermite polynomials, in the p-basis constructed in Mh. Math. 126(1998) and Comm. Math. Phys. 197(1998), 451-487, are implemented in the Maple V, Release 4 (easily upgradeable to 5) worksheet .

Preprint of "Planar harmonic polynomials of type B"( J. Phys.A: Math. Gen. 32 (1999), 8095-8110.A) ( math.CA/9906041 ), gzip ps (112kb) .

Preprint of "Generating Functions Associated with Dihedral Groups", (Nov. 1999) gzip ps (92 kb)

Note on a strange Laguerre polynomial orthogonality, see arxiv math-ph/0011021

Preprint (31 July 2006) of "An Intertwining Operator for the Group B2", Glasgow Math. J. 49 (2007), 291-319, in pdf format and in gzipped ps

To receive an e-reprint of "Hook-lengths and pairs of
compositions", J. Comp. Appl.
Math. 199
(2007), 39-47, send me an e-mail
message.

The paper "Polynomials Associated with Dihedral Groups" is
published online (23 March 2007), SIGMA 3
(2007) ,
052, 19pp. math.CA/0702107

Preprint of "A Laguerre polynomial orthogonality and the hydrogen atom", (Analysis and Applications, 1 (2003), 177-188) in compressed ps

I participated in the Programme on Macdonald Symmetric Functions, at the Newton Institute for Mathematical Sciences at Cambridge University, Spring 2001; and was a plenary lecturer at the 6th International Symposium on

- The SIAM Home Page.
- The SIAM activity group on Orthogonal
Polynomials
and
Special Functions

- University of Virginia Department of Mathematics