Some conjectures for Macdonald polynomials of type B, C, D

Abstract

We present conjectures giving formulas for the Macdonald polynomials of type B, C, D which are indexed by a multiple of the first fundamental weight. The transition matrices between two different types are explicitly given.

AMS-TeX, 24 pages, a misprint corrected in Conjecture 5

References in corpus (1)

• Inversion of the Pieri formula for Macdonald polynomials

Cited by in corpus (2)

• Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
• Branching Rules for Koornwinder Polynomials with One Column Diagrams and Matrix Inversions