Quadratic Hermite–Padé Approximation to the Exponential Function: A Riemann–Hilbert Approach
✍ Scribed by A. B. J. Kuijlaars; W. Van Assche; F. Wielonsky
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 590 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0176-4276
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This paper is the continuation of a work initiated in [P. Sablonnière, An algorithm for the computation of Hermite-Padé approximations to the exponential function: divided differences and Hermite-Padé forms. Numer. Algorithms 33 (2003) 443-452] about the computation of Hermite-Padé forms (HPF) and a
We investigate the polynomials P n , Q m , and R s , having degrees n, m, and s, respectively, with P n monic, that solve the approximation problem We give a connection between the coefficients of each of the polynomials P n , Q m , and R s and certain hypergeometric functions, which leads to a sim