Some aspects of two-point Pad6 approximants

Recent ly McCabe and Murphy have considered the two-po in t Pad6 approx iman t s to a funct ion for which (formal) power series expansions at the origin and at inf ini ty are given. In this paper these approximat ions are slightly modi f ied and de te rminan t representa t ions for them are given. The existence o f various th ree t e rm recursion relations for the numera tors and denominators o f these approximants is shown. Based on these, a new con t inued fract ion representa t ion for these approximants is obta ined and also an efficient recursive m e t h o d is proposed for the determinat ion o f the coeff icients o f all the approximants that ob ta in f rom a given n u m b e r o f terms o f the power series.