Asymptotics and zero distribution of Padé polynomials associated with the exponential function

DOI10.1016/S0377-0427(97)00230-6zbMath0904.41009OpenAlexW2049201100MaRDI QIDQ1392791

Kathy A. Driver, Nico M. Temme

Publication date: 26 January 1999

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(97)00230-6

zbMATH Keywords

saddle point methodapplication of Airy functions

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Padé approximation (41A21)

Related Items

B-splines and Hermite-Padé approximants to the exponential function ⋮ ZERO AND POLE DISTRIBUTION OF DIAGONAL PADÉ APPROXIMANTS TO THE EXPONENTIAL FUNCTION ⋮ Riemann-Hilbert analysis and uniform convergence of rational interpolants to the exponential function

Cites Work

• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• On the zeros and poles of Padè approximants to \(e^z\). III
• The asymptotic solution of linear differential equations of the second order for large values of a parameter
• Uniform Airy-Type Expansions of Integrals
• Asymptotic Behavior of the Pollaczek Polynomials and Their Zeros
• Uniform asymptotic expansions of integrals with stationary point near algebraic singularity
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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