On some questions of Fisk and Brändén
arXiv:1005.4218
Abstract
P. Brändén recently proved a conjecture due to S. Fisk, R. P. Stanley, P. R. W. McNamara and B. E. Sagan. In addition, P. Brändén gave a partial answer to a question posed by S. Fisk regarding the distribution of zeros of polynomials under the action of certain non-linear operators. In this paper, we give an extension to a result of P. Brändén, and we also answer a question posed by S. Fisk.