Computation of the Chebyshev-Padé table

摘要

A recursive method is given for the computation of the coefficients in the Chebyshev-Padé table. This is a table, recently defined by Clenshaw and Lord for Chebyshev series, which is analogous to the Padé table for power series. The method enables one to compute the whole of the triangular part of the table which derives from the given number of terms in the original Chebyshev series taken into account. The recursive method given by Clenshaw and Lord only enables one to compute the coefficients in half of this table.