On general two-point continued fraction expansions and Padé tables

AbstractEvelyn Frank's algorithm is applied to the expansion of a pair of non-normal power series into a general M-fraction. The block structure with respect to the M-table for this series-pair is considered taking full account of the blocks formed in the table of Hankel determinants. The M-table is generalized for other types of pairs of power series. In this context, Ramanujan's continued fractions serve as very good examples to illustrate these general continued fraction expansions and the block structure of convergents in the relevant two-point Padé table