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Transformation approximation for the plasma dispersion function and application to electrostatic waves

JOURNAL OF PLASMA PHYSICS(1984)

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Abstract
Simple algebraic approximations for the plasma dispersion function Z(s) and its derivative are obtained by the Aitken's Δ2 or Shanks transformation. Using the approximate function Z'(s), higher-order dispersion relations for the electron wave and ion-acoustic wave are derived.
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Key words
plasma dispersion function,electrostatic waves
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