We describe a variety of methods to compute the functions Kia (x), Lia (x) and their derivatives for real a and positive x. These functions are numerically satisfactory independent solutions of the differential equation x2w'' + xw' + (a2

CWI
Modelling, Analysis and Simulation [MAS]
Computational Dynamics

Gil, A., Segura, J., & Temme, N. (2004). Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments. Modelling, Analysis and Simulation [MAS]. CWI.