Type II Hermite-Padé approximation to the exponential function

DOI10.1016/j.cam.2006.10.010zbMath1119.41010arXivmath/0510278OpenAlexW2079219004MaRDI QIDQ2643090

Franck Wielonsky, Walter Van Assche, Arno B. J. Kuijlaars, Herbert R. Stahl

Publication date: 23 August 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510278

zbMATH Keywords

Riemann-Hilbert problemsHermite-Padé approximationsteepest descent analysisasymptotics of polynomials

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21) Simultaneous approximation (41A28)

Related Items (9)

Asymptotics for Hermite-Padé approximants associated with the Mittag-Leffler functions ⋮ Upper bounds for the moduli of zeros of Hermite-Padé approximations for a set of exponential functions ⋮ On sequences of rational interpolants of the exponential function with unbounded interpolation points ⋮ Asymptotics of diagonal Hermite-Padé polynomials for the collection of exponential functions ⋮ On some properties of Hermite-Padé approximants to an exponential system ⋮ A Riemann-Hilbert problem for biorthogonal polynomials ⋮ Unnamed Item ⋮ Hermite-Padé approximants of the Mittag-Leffler functions ⋮ Unnamed Item

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