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We present efficient approximation of the error function obtained by Fourierexpansion of the exponential function $\exp [{- {(t - 2 \sigma)^2}/4}]$. Theerror analysis reveals that it is highly accurate and can generate numbers thatmatch up to the last decimal digits with reference values. Due to simplerepresentation the proposed error function approximation can be utilized in arapid algorithm.

A rapid and highly accurate approximation for the error function of complex argument