Quadratic Hermite--Padé polynomials associated with the exponential function.

DOI10.1016/j.jat.2003.09.012zbMath1044.41009OpenAlexW2083259969MaRDI QIDQ1418959

Herbert R. Stahl

Publication date: 14 January 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2003.09.012

zbMATH Keywords

Hermite--Padé approximantsHermite--Padé polynomials of the exponential functionquadratic Hermite--Padé polynomials of type I

Mathematics Subject Classification ID

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

Related Items (7)

Type II Hermite-Padé approximation to the exponential function ⋮ On sequences of rational interpolants of the exponential function with unbounded interpolation points ⋮ Asymptotic behavior of quadratic Hermite-Padé approximants to the exponential function and Riemann-Hilbert problems ⋮ B-splines and Hermite-Padé approximants to the exponential function ⋮ Application of Hermite-Padé approximation for detecting singularities of some boundary value problems ⋮ Riemann-Hilbert analysis and uniform convergence of rational interpolants to the exponential function ⋮ Hermite-Padé approximants of the Mittag-Leffler functions

Cites Work

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• Nondiagonal quadratic Hermite-Padé approximation to the exponential function
• Applications of some formulae by Hermite to the approximation of exponentials and logarithms
• On Quadratic Approximation

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