A Hilbert–Padé method for multipole approximations. Application to the Gaussian function
- 1 June 1980
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (6) , 1332-1335
- https://doi.org/10.1063/1.524583
Abstract
A method is developed where a Hilbert transform is combined with an asymptotic Padé method in order to obtain good multipole approximations for functions whose power series have a large radius of convergence. This method has been used to find two- to eight-pole approximations for the Gaussian function.Keywords
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