![]() |
Discrete Mathematics & Theoretical Computer Science |
We investigate the homogeneous symmetric Macdonald polynomials $P_{\lambda} (\mathbb{X} ;q,t)$ for the specialization $t=q^k$. We show an identity relying the polynomials $P_{\lambda} (\mathbb{X} ;q,q^k)$ and $P_{\lambda} (\frac{1-q}{1-q^k}\mathbb{X} ;q,q^k)$. As a consequence, we describe an operator whose eigenvalues characterize the polynomials $P_{\lambda} (\mathbb{X} ;q,q^k)$.
Source : ScholeXplorer
IsRelatedTo ARXIV math/9808050 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.math/9808050
|