References

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[2] Johnston, G. L. (1973). Representation of Dielectric Function of Magnetized Plasma. The Physics of Fluids, V. 16., No. 9.  

[3] Schmitt, J. P. M. (1974). The magnetoplasma dispersion function: Some Mathematical Properties. J. Plasma Phys. 12, 51-59.

[4] Paris, R. B. (1998). The asymptotic expansion of Gordeyev’s integral. Z. angew. Math. Phys. 49, 322-338.

[5] Nijimbere, V. (2019). Analytical and asymptotic evaluations of Dawson’s integral and related functions in mathematical physics. Journal of Applied Analysis, 25(2), 179-188.

[6] Maroli, C., Petrillo, V., and Ganoutas, E. (1988). An asymptotic form of the Gordeyev function for initial value problems. Europhys. Lett., 5(3), 229-233.

[7] Bernstein, I. B. (1958). Waves in a Plasma in a Magnetic Field. Phys. Rev., 109, 10-21.

[8] Matlab. (2017). Version 9.2.0.538062 (R2017a). The Mathworks, Inc. Natick, Massachusetts.

[9] Jones, R. E. (SNLA). (1993). “DGaus8.f”, SLATEC Common Mathematical Library, Version 4.1, July 1993, http://www.netlib.org/slatec/index.html.  

[10] Amos, D. E. (1986). ALGORITHM 644 A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order. ACM Transactions on Mathematical Software, Vol. 12, No. 3, Pages 265-273.

[11] Amos, D. E. (1995). A Remark on ALGORITHM 644: “A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order”. ACM Transactions on Mathematical Software, Vol. 21, No. 4, Pages 388-393.

[12] Zaghloul, M. R. and Ali, A. N. (2011). Algorithm 916: Computing the Faddeyeva and Voigt Functions. ACM Trans. Math. Software (TOMS). Vol. 38, No. 2, article 15:1-22.

[13] Zaghloul, M. R. (2016). Remark on “Algorithm 916: Computing the Faddeyeva and Voigt Functions”: Efficiency Improvements and Fortran Translation. ACM Trans. Math. Software (TOMS), Vol. 42, No. 3, Article 26:1-9.

[14] Zaghloul, M. R. (2017). Algorithm 985: Simple, Efficient and Relatively Accurate Approximation for the Evaluation of Faddeyeva Function. ACM Transactions on Mathematical Software, Vol. 44, No. 2, Article 22. 

[15] Zaghloul, M. R. (2018). A Fortran package for efficient multi-accuracy computations of the Faddeyeva function and related functions of complex arguments arXiv preprint arXiv:1806.01656.

[16] Zaghloul, M. R. (2019). Remark on “Algorithm 680: evaluation of the complex error function”: Cause and Remedy for the Loss of Accuracy near the Real Axis. ACM Transactions on Mathematical Software (TOMS), 45(2), 1-3.

[17] Cody, W. J. (1993). Algorithm 715: SPECFUNA portable Fortran Package of Special Function Routines and Test Drivers. ACM Transactions on Mathematical Software, Vol. 19, No. 1, 22-32. 

[18] Maple. (2015). Maplesoft, a division of Waterloo Maple Inc., Waterloo, Ontario.

[19] Pécseli, H. L. (2013). Waves and Oscillations in Plasma. CRC Press by Taylor & Francis.