%0 Journal Article %T A generalization of Newton's identity and Macdonald functions %A Wuxing Cai %A Naihuan Jing %J Mathematics %D 2012 %I arXiv %R 10.1016/j.jcta.2014.04.001 %X 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-J\"ozefiak formula for two-row Macdonald functions. %U http://arxiv.org/abs/1210.1621v1