If is a Power series which is regular for except for Poles within this Circle and except for , at which points the function is assumed continuous when only points are considered, then at least a subsequence of the Padé Approximants are uniformly bounded in the domain formed by removing the interiors of small circles with centers at these Poles and uniformly continuous at for .

**References**

Baker, G. A. Jr. ``The Padé Conjecture and Some Consequences.'' §II.D in *Advances in Theoretical Physics, Vol. 1*
(Ed. K. A. Brueckner). New York: Academic Press, pp. 23-27, 1965.

© 1996-9

1999-05-26