Algorithm 831
swMATH ID:  4465 
Software Authors:  Gil, Amparo; Segura, Javier; Temme, Nico M. 
Description:  Algorithm 831: Modified Bessel functions of imaginary order and positive argument Fortran 77 programs for the computation of modified Bessel functions of purely imaginary order are presented. The codes compute the functions Kia(x), Lia(x) and their derivatives for real a and positive x; these functions are independent solutions of the differential equation x2w” + xw’ + (a2 − x2)w = 0. The code also computes exponentially scaled functions. The range of computation is (x, a) ∈ (0,1500] × [−1500, 1500] when scaled functions are considered and it is larger than (0,500] × [−400, 400] for standard IEEE double precision arithmetic. The relative accuracy is better than 10−13 in the range (0,200] × [−200, 200] and close to 10−12 in (0, 1500] × [−1500, 1500]. 
Homepage:  http://dl.acm.org/citation.cfm?id=992204 
Programming Languages:  Fortran 77 
Keywords:  Fortran 77 programs; modified Bessel functions; derivatives 
Related Software:  BIZ; AIZ; Matlab; MCD; FastGaussQuadrature; libcwfn; NumExp; Cephes; Mathematica; CONHYP; Conical; Maple; FGH; Algorithm 858; NSWC; Algorithm 885; Algorithm 877; REMES2; Algorithm 822; Algorithm 861 
Referenced in:  11 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Algorithm 831: Modified Bessel functions of imaginary order and positive argument. Zbl 1072.65025 Gil, Amparo; Segura, Javier; Temme, Nico M. 
2004

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Referenced by 16 Authors
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Referenced in 9 Serials
Referenced in 5 Fields
10  Special functions (33XX) 
6  Numerical analysis (65XX) 
3  Approximations and expansions (41XX) 
1  Number theory (11XX) 
1  Relativity and gravitational theory (83XX) 