Abrarov, S. M.Quine, B. M.2014-05-152014-05-152014-06S. M. Abrarov and B. M. Quine, “Master-Slave Algorithm for Highly Accurate and Rapid Computation of the Voigt/Complex Error Function,” Journal of Mathematics Research, vol. 6, no. 2, May 2014.http://hdl.handle.net/10315/27521http://dx.doi.org/10.5539/jmr.v6n2p104We obtain a rational approximation of the Voigt/complex error function by Fourier expansion of the exponential function ${e^{ - {{\left( {t - 2\sigma } \right)}^2}}}$ and present master-slave algorithm for its efficient computation. The error analysis shows that at $y > {10^{ - 5}}$ the computed values match with highly accurate references up to the last decimal digits. The common problem that occurs at $y \to 0$ is effectively resolved by main and supplementary approximations running computation flow in a master-slave mode. Since the proposed approximation is rational function, it can be implemented in a rapid algorithm.en© 2014. This manuscript version is made available under the CC BY 4.0 licensecomplex error functioncomplex probability functionVoigt functionFaddeeva functionplasma dispersion functioncomplementary error functionerror functionFresnel integralDawson’s integralmaster-slave algorithmArticle