Severin Posta
Generating function for orthogonal polynomials of (anti)symmetric multivariate sine functions of three variables
The generating functions of four kinds of orthogonal polynomials of (anti)symmetric multivariate sine functions of three variables are computed. The generating functions hand as a powerful tool for investigating symmetries, parity relations and efficient computer implementation and handling of the polynomials. The recurrence relations algorithms for the calculation of the polynomials are superseded by explicit evaluation formulas which can be derived from the generating functions.
