Problem of the most effective plasma dispersion function evaluation

The principal question of the fastest plasma dispersion function evaluation in the most “expensive” presently region R in both the complex region and the real axis was investigated with usage of additional computer memory and somewhat modification of the well-known algorithm 380, most effective in present. It was shown that the minimal time for evaluation of that function in the complex region R is about 1.5 times for computation of the single exponential function and in the real region R about the time for evaluation of the single exponent. Usage of present algorithm, and a negligible additional computer memory allow perform twice faster calculations in the complex plane and ten times faster on the real axis in comparison with algorithm 380.