Analytical Evaluation of the Plasma Dispersion Function Using Binomial Coefficients and Incomplete Gamma Functions
✍ Scribed by B.A. Mamedov
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 78 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0005-8025
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✦ Synopsis
Abstract
Series expansions are obtained for a plasma dispersion function that appears in the description of smallamplitude waves in very hot plasmas. However, the numerical implementation of this function is required in diverse areas of physics and applied mathematics. An explicit representation for the plasma dispersion function is developed in terms of series of binomial coefficients and incomplete gamma functions. The series expansions obtained herein give a more accurate and efficient way to compute values for this integral over the entire permissible range of its parameters. The results of the calculations are compared with literature data as well as those obtained by different approximate method (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)