ZERO AND POLE DISTRIBUTION OF DIAGONAL PADÉ APPROXIMANTS TO THE EXPONENTIAL FUNCTION

DOI10.1080/16073606.1999.9632055zbMath0952.41013OpenAlexW2007743938MaRDI QIDQ3836229

Kathy A. Driver, Nico M. Temme

Publication date: 7 January 2001

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/1229

zbMATH Keywords

exponential functionasymptotic behaviourBessel functionsAiry functionsuniform asymptotic methodsPadé polynomialszero and pole distribution

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Padé approximation (41A21) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Asymptotic representations in the complex plane (30E15)

Related Items (2)

Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods ⋮ On sequences of rational interpolants of the exponential function with unbounded interpolation points

Cites Work

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• On the zeros and poles of Padè approximants to \(e^z\). III
• On polynomials related with Hermite-Padé approximations to the exponential function
• Asymptotics and zero distribution of Padé polynomials associated with the exponential function

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