IMSL Fortran Math Special Functions Library
Usage Notes
The notation used in this chapter follows that of Abramowitz and Stegun (1964). The Kelvin functions are related to the Bessel functions by the following relations.
 
 
The derivatives of the Kelvin functions are related to the values of the Kelvin functions by the following:
 
 
 
 
Plots of bern(x), bein(x), kern(x) and kein(x) for n = 0, 1 follow:
Figure 7.1 — Plot of bern(x) and bein(x)
Figure 7.2 — Plot of kern(x) and kein(x)