Hashiguchi, Hiroki; Nakagawa, Shigekazu; Niki, Naoto - In: Mathematics and Computers in Simulation (MATCOM) 51 (2000) 5, pp. 489-496
The zonal polynomials are symmetric polynomial functions each of which is an eigenfunction of a kind of Laplace–Beltrami operator. We give a simplification of the Laplace–Beltrami operator. We realize a symbolic algorithm for obtaining the coefficients of zonal polynomials.