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A simple pseudo-Voigt/complex error function

Published 25 Jul 2018 in math.GM | (1807.09426v1)

Abstract: In this work we present a simple approximation for the Voigt/comp-lex error function based on fitting with set of the exponential functions of form ${\alpha _n}{\left| t \right|n}{e{ - {\beta _n}\left| t \right|}}$, where ${\alpha _n}$ and ${\beta _n}$ are the expansion coefficients. The computational test reveals that the largest absolute differences for the real and imaginary parts of the complex error function are $0.037$ and $0.036$, respectively.

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