On the Generalized Padé Approximations to the Exponential Function
✍ Scribed by Iserles, Arieh
- Book ID
- 118186931
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1979
- Tongue
- English
- Weight
- 680 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0036-1429
- DOI
- 10.1137/0716048
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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
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