(Shifted) Macdonald Polynomials: qIntegral Representation and Combinatorial Formula
Abstract
We extend some results about shifted Schur functions to the general context of shifted Macdonald polynomials. We obtain two explicit formulas for these polynomials: a $q$integral representation and a combinatorial formula. Our main tool is a $q$integral representation for ordinary Macdonald polynomials. We also discuss duality for shifted Macdonald polynomials and Jack degeneration of these polynomials.
 Publication:

eprint arXiv:qalg/9605013
 Pub Date:
 May 1996
 DOI:
 10.48550/arXiv.qalg/9605013
 arXiv:
 arXiv:qalg/9605013
 Bibcode:
 1996q.alg.....5013O
 Keywords:

 Mathematics  Quantum Algebra
 EPrint:
 30 pages, AmSTeX. Replaced with the journal version. To appear in Comp. Math