On the Baker-Gammel-Wills conjecture in the theory of Pade approximants
Journal Article
·
· Sbornik. Mathematics
- V.A. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow (Russian Federation)
The well-known Pade 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 Pade 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 Pade's conjecture. The function presented in this article disproves the holomorphic version of Pade's conjecture and simultaneously disproves Stahl's conjecture (Pade's conjecture for algebraic functions)
- OSTI ID:
- 21205683
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 6 Vol. 193; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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