A generalization of Newton's identity and Macdonald functions
arXiv:1210.1621 · doi:10.1016/j.jcta.2014.04.001
Abstract
A generalization of Newton's identity on symmetric functions is given. Using the generalized Newton identity we give a unified method to show the existence of Hall-Littlewood, Jack and Macdonald polynomials. We also give a simple proof of the Jing-Jözefiak formula for two-row Macdonald functions.
14 pages