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
This publication has 6 references indexed in Scilit:
- A modified asymptotic Padé method. Application to multipole approximation for the plasma dispersion function ZJournal of Mathematical Physics, 1980
- New two-pole approximation for the plasma dispersion function ZPhysics of Fluids, 1979
- Four pole approximation to the Maxwellian distributionPhysics of Fluids, 1977
- Perturbation series for the critical behaviour of type II superconductors near Hc2Journal of Physics F: Metal Physics, 1976
- Borel summability: Application to the anharmonic oscillatorPhysics Letters B, 1970
- Two-Pole Approximation for the Plasma Dispersion FunctionPhysics of Fluids, 1968