# On sequences of rational interpolants of the exponential function with unbounded interpolation points

@article{Claeys2011OnSO, title={On sequences of rational interpolants of the exponential function with unbounded interpolation points}, author={Tom Claeys and Franck Wielonsky}, journal={J. Approx. Theory}, year={2011}, volume={171}, pages={1-32} }

## 6 Citations

### Riemann-Hilbert Characterisation of Rational Functions with a General Distribution of Poles on the Extended Real Line Orthogonal with Respect to Varying Exponential Weights: Multi-Point Pad\'e Approximants and Asymptotics

- Mathematics
- 2019

Given $K$ arbitrary poles, which are neither necessarily distinct nor bounded, on the extended real line, a corresponding ordered base of rational functions orthogonal with respect to varying…

### On Uniform Convergence of Diagonal Multipoint Padé Approximants for Entire Functions

- Mathematics
- 2019

We prove that for most entire functions f in the sense of category, a strong form of the Baker–Gammel–Wills conjecture holds. More precisely, there is an infinite sequence $${\mathcal {S}}$$S of…

### On Uniform Convergence of Diagonal Multipoint Padé Approximants for Entire Functions

- Materials ScienceConstructive Approximation
- 2017

We prove that for most entire functions f in the sense of category, a strong form of the Baker–Gammel–Wills conjecture holds. More precisely, there is an infinite sequence…

### The Spurious Side of Diagonal Multipoint Padé Approximants

- PhysicsTopics in Classical and Modern Analysis
- 2019

We survey at an introductory level, the topic of multipoint Pade approximants, especially the issues of spurious poles and convergence for diagonal rational approximants.

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