SIAM Journal on Mathematical Analysis
Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing
Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions
ACM Transactions on Mathematical Software (TOMS)
Evaluation of the modified Bessel function of the third kind of imaginary orders
Journal of Computational Physics
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics - Proceedings of the sixth international symposium on orthogonal polynomials, special functions and their applications
Algorithm 831: Modified Bessel functions of imaginary order and positive argument
ACM Transactions on Mathematical Software (TOMS)
Algorithm 831: Modified Bessel functions of imaginary order and positive argument
ACM Transactions on Mathematical Software (TOMS)
Zeros of the Macdonald function of complex order
Journal of Computational and Applied Mathematics
ACM Transactions on Mathematical Software (TOMS)
Algorithm 912: A Module for Calculating Cylindrical Functions of Complex Order and Complex Argument
ACM Transactions on Mathematical Software (TOMS)
Hi-index | 0.00 |
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 x2 w" + xw' + (a2 − x2)w = 0. In the accompanying paper [Gil et al. 2004], we describe the implementation of these methods in Fortran 77 codes.