An improved asymptotic Padé method is presented. The approximations expressed as rational functions are developed both in a power series and asymptotic expansions. Identifying these developments with those for the exact function, the approximated rational functions are obtained. Three- and four-pole approximations for the plasma dispersion function have been determined with this method. Our approximations (Zlm) give closer results to the exact function than all the published ones.
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N et al. (1980) studied this question.
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