cc [ flags ] -I/usr/local/include file(s) -L/usr/local/lib -lmcw [ ... ] #include <mathcw.h> extern float sbk1f (float x); extern double sbk1 (double x); extern long double sbk1l (long double x); extern __float80 sbk1w (__float80 x); extern __float128 sbk1q (__float128 x); extern long_long_double sbk1ll (long_long_double x); extern decimal_float sbk1df (decimal_float x); extern decimal_double sbk1d (decimal_double x); extern decimal_long_double sbk1dl (decimal_long_double x); extern decimal_long_long_double sbk1dll (decimal_long_long_double x);
NB: Functions with prototypes containing underscores in type names may be available only with certain extended compilers.
The modified spherical Bessel functions provided by these software implementations are defined according to Chapter 10, Bessel Functions of Fractional Order, of the Handbook of Mathematical Functions, edited by Milton Abramowitz and Irene A. Stegun, National Bureau of Standards Applied Mathematics Series #55, US Department of Commerce, Washington, DC (1964).
The k(n,x) functions fall exponentially with increasing x, and underflow even with moderate x values. For that reason, there is a related family of functions that return values of this Bessel function reduced by a factor of exp(x); see sbks1(3CW).