Computing nonsymmetric and interpolation Macdonald polynomials
Wendy Baratta
TL;DR
This paper introduces a Mathematica notebook for computing nonsymmetric and interpolation Macdonald polynomials, featuring a new recursive algorithm and practical applications.
Contribution
It provides a novel recursive generation algorithm and a comprehensive Mathematica implementation for Macdonald polynomials.
Findings
Effective recursive algorithm for polynomial computation
Implementation details of the Mathematica notebook
Applications demonstrating the notebook's utility
Abstract
In this paper we present a Mathematica notebook for computing nonsymmetric and interpolation Macdonald polynomials. We present the new recursive generation algorithm employed within the notebook and the theory required for its development. We detail the contents of the notebook and conclude with a couple of applications of the notebook.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Nonlinear Waves and Solitons