Class bessel_K_exp_integ_tl (o2scl)¶
-
template<class inte_t, class fp_t = double>
class o2scl::bessel_K_exp_integ_tl¶ Compute an exponentially scaled modified Bessel function of the second kind by direct integration.
This class uses an integral representation of the exponentially scaled modified Bessel function of the second kind
\[ K_n(z) e^{z} = \frac{\sqrt{\pi} z^{n}}{2^{n} \Gamma(n+1/2)} \int_1^{\infty} e^{z(1-t)} \left(t^2-1\right)^{n-1/2}~dt \](see http://functions.wolfram.com/Bessel-TypeFunctions/BesselK/07/01/01/)Todo
In bessel_K_exp_integ_tl, better testing of accuracy.
Public Functions