In 1961, Baker, Gammel, and Wills formulated their famous conjecture that if a function f is meromorphic in the unit ball and analytic at 0, then a subsequence of its diagonal Padé approximants converges uniformly in compact subsets to f. This conjecture was disproved in 2001, but it generated a number of related unresolved conjectures. We review their status.
CITATION STYLE
Lubinsky, D. S. (2014). Reflections on the Baker-Gammel-Wills (Padé) conjecture. In Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava (Vol. 9781493902583, pp. 561–571). Springer New York. https://doi.org/10.1007/978-1-4939-0258-3_21
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