NAME:   Charles F. Dunkl
 
 
 ADDRESS: Dept. of Mathematics, Kerchof Hall
          University of Virginia    
          Charlottesville, VA 22903 
                                     
 
 EMAIL ADDRESS: cfd5z@virginia.edu
 
 TITLE OF TALK: Orthogonal polynomials of types A and B and computer
                algebra assistance
 ABSTRACT OF TALK:  Formulas for orthogonal polynomials of several
variables can be elusive and hard to discover. We discuss the situation of 
polynomials associated with the symmetric groups and the hyperoctahedral groups,
the Weyl groups of type A and B respectively. With the use of the computer
algebra system Maple, we can search for interesting  formulas and equations
and be led to plausible conjectures. Examples from the theories of
nonsymmetric Jack polynomials and generalized harmonic polynomials will be
presented.
 
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