We generate, from a given basic set of polynomials in several complex variables , new basic sets of polynomials and generated by the application of the Δ and ∇ operators to the set . All relevant ...We generate, from a given basic set of polynomials in several complex variables , new basic sets of polynomials and generated by the application of the Δ and ∇ operators to the set . All relevant properties relating to the effectiveness in Reinhardt and hyperelliptic domains of these new sets are properly deduced. The case of classical orthogonal polynomials is investigated in details and the results are given in a table. Notations are also provided at the end of a table. 展开更多
文摘We generate, from a given basic set of polynomials in several complex variables , new basic sets of polynomials and generated by the application of the Δ and ∇ operators to the set . All relevant properties relating to the effectiveness in Reinhardt and hyperelliptic domains of these new sets are properly deduced. The case of classical orthogonal polynomials is investigated in details and the results are given in a table. Notations are also provided at the end of a table.
