Ma. Chaudhry et Sm. Zubair, ON A PAIR OF FUNCTIONS USEFUL IN HEAT-CONDUCTION PROBLEMS, International communications in heat and mass transfer, 21(5), 1994, pp. 673-681
The temperature and heat flux solutions of several heat conduction pro
blems in a semi-infinite solid with a boundary condition of the third
kind can be expressed in terms of the functions, E(u, v) and F(u, v).
It is shown that these functions can be expressed by exponential and c
omplementary error functions. We also present the graphical as well as
tabular representations of the functions for practical use.