Reflections on the Baker–Gammel–Wills (Padé) Conjecture

Doron S. Lubinsky ()
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Doron S. Lubinsky: School of Mathematics, Georgia Institute of Technology

A chapter in Analytic Number Theory, Approximation Theory, and Special Functions, 2014, pp 561-571 from Springer

Abstract: Abstract 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.

Keywords: Unit Ball; Famous Conjecture; Rogers Ramanujan Functions; Spurious Poles; Diagonal Sequence (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0258-3_21

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DOI: 10.1007/978-1-4939-0258-3_21

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