The Einstein functions and Planck’s radiation function are elementary combinations of exponentials, or exponentials and logarithms. See Abramowitz and Stegun (1964, pp. 999–1000) and Ashcroft and Mermin (1976, Chapter 23).

For applications of generalized exponentials and generalized logarithms to computer arithmetic see §3.1(iv).

For an application of the Lambert $W$-function to generalized Gaussian noise see Chapeau-Blondeau and Monir (2002). For other applications of the Lambert $W$-function see Corless et al. (1996).