1. C. Cercignani, J. Math. Anal. Appl.
10, 93 (1965). Functions related to p(u) are tabulated in
2. V. N. Faddeyeva and N. M. Terent’ev, Tables of the Values of the Function
w(z)=e−z21+2iπ∫0zet2dt
$$w(z) = {e^{{ - {z^{2}}}}}\left( {1 + \frac{{2i}}{{\sqrt {\pi } }}\int\limits_{0}^{z} {{e^{{{t^{2}}}}}dt} } \right)$$
Pergamon Press, London and New York (1961);
3. B. D. Fried and S. D. Conte, The Plasma Dispersion Function: The Hilbert Transform of the Gaussian, Academic Press, New York (1961). The complete theory of singular integral equations can be found in
4. N. I. Muskhelishvili, Singular Integral Equations, Noordhoff, Groningen (1953). The numerical evaluation of the slip coefficient was presented in
5. S. Albertoni, C. Cercignani, and L. Gotusso, Phys. Fluids
6, 993 (1963).