Shifted Jack polynomials, binomial formula, and applications
Andrei Okounkov, Grigori Olshanski
TL;DR
This paper presents an explicit binomial formula for Jack polynomials and explores its applications, enhancing understanding and computational techniques related to these symmetric functions.
Contribution
It introduces a new explicit binomial formula for Jack polynomials and discusses its potential applications.
Findings
Derived an explicit binomial formula for Jack polynomials
Demonstrated applications in symmetric function theory
Improved computational methods for Jack polynomials
Abstract
In this note we prove an explicit binomial formula for Jack polynomials and discuss some applications of it.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Advanced Mathematical Identities