Abstract
The diagonal Padé approximants of power series that satisfy a certain reciprocal property involve, essentially, one polynomial. The continued fractions, whose convergents are the sequence of diagonal approximants, are consequentially of a simplified form. An interesting example is a continued fraction given by Stieltjes, and this is seen to have an application in current approximation theory.
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DEDICATED TO WOLF THRON ON THE OCCASION OF HIS 70TH BIRTHDAY
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© 1989 Springer-Verlag
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McCabe, J.H. (1989). On continued fractions associated with polynomial type pade approximants, with an application. In: Jacobsen, L. (eds) Analytic Theory of Continued Fractions III. Lecture Notes in Mathematics, vol 1406. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096166
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DOI: https://doi.org/10.1007/BFb0096166
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