Algorithm 831: Modified Bessel functions of imaginary order and positive argument. (English) Zbl 1072.65025
Summary: Fortran 77 programs for the computation of modified Bessel functions of purely imaginary order are presented. The codes compute the functions , and their derivatives for real and positive ; these functions are independent solutions of the differential equation . The code also computes exponentially scaled functions. The range of computation is when scaled functions are considered and it is larger than for standard IEEE double precision arithmetic. The relative accuracy is better than in the range and close to in .
|65D20||Computation of special functions, construction of tables|
|33C10||Bessel and Airy functions, cylinder functions, |
|33F05||Numerical approximation and evaluation of special functions|
|65Y15||Packaged methods in numerical analysis|