Geodesic
On the Baker--Gammel--Wills conjecture in the~theory of Pad\'e approximants
Sbornik. Mathematics, Tome 193 (2002) no. 6, pp. 811-823

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The well-known Padé conjecture, which was formulated in 1961 by Baker, Gammel, and Wills states that for each meromorphic function $f$ in the unit disc $D$ there exists a subsequence of its diagonal Padé approximants converging to $f$ uniformly on all compact subsets of $D$ not containing the poles of $f$. In 2001, Lubinsky found a meromorphic function in $D$ disproving Padé's conjecture. The function presented in this article disproves the holomorphic version of Padé's conjecture and simultaneously disproves Stahl's conjecture (Padé's conjecture for algebraic functions). 
@article{SM_2002_193_6_a1,
     author = {V. I. Buslaev},
     title = {On the {Baker--Gammel--Wills} conjecture in the~theory of {Pad\'e} approximants},
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     publisher = {mathdoc},
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     number = {6},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2002_193_6_a1/}
}
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V. I. Buslaev. On the Baker--Gammel--Wills conjecture in the~theory of Pad\'e approximants. Sbornik. Mathematics, Tome 193 (2002) no. 6, pp. 811-823. http://geodesic.mathdoc.fr/item/SM_2002_193_6_a1/