A formula for Jack polynomials of the second order
Volume 34 / 2007
Applicationes Mathematicae 34 (2007), 113-119
MSC: 05E05, 35M99, 33C05.
DOI: 10.4064/am34-1-9
Abstract
This work solves the partial differential equation for Jack polynomials $C_{\kappa }^{\alpha }$ of the second order. When the parameter $\alpha $ of the solution takes the values $1/2, 1$ and $2$ we get explicit formulas for the quaternionic, complex and real zonal polynomials of the second order, respectively.
