On the non-normal two-point Padé table

摘要

The M-table for two power series expansions, one about the origin and the other about infinity, is generalized to the non-normal case. It is shown that equal entries appear in square blocks, quadrants or half planes. In addition, the continued fractions whose convergents are diagonal or horizontal sequences are constructed. The results are based on a transformation that reduces the study of the two-point table to that of the Padé table.