Continued fractions, two-point Padé approximants and errors in the Stieltjes case
A Stieltjes function is expanded in mixed \(T\)- and \(S\)-continued fraction. The relations between approximants of this continued fraction and two-point Padé approximants are established. The method used by Gilewicz and Magnus has been adapted to obtain the exact relations between the errors of the contiguous two-point Padé approximants in the whole cut complex plane.
scientific article; zbMATH DE number 1787677
scientific article