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A new sampling methodology based on incomplete cosine expansion series ispresented as an alternative to the traditional sinc function approach.Numerical integration shows that this methodology is efficient and practical.Applying the incomplete cosine expansion we obtain a rational approximation ofthe complex error function that with the same number of the summation termsprovides an accuracy exceeding the Weideman\text{'}s approximation accuracy byseveral orders of the magnitude. Application of the expansion results in anintegration consisting of elementary function terms only. Consequently, thisapproach can be advantageous for accurate and rapid computation.

Sampling by incomplete cosine expansion of the sinc function: application to the Voigt/complex error function