ecld.gamma: Incomplete gamma function and asymptotic expansion
Description
ecld.gamma is the wrapper for incomplete gamma function
$\Gamma(s,x)$. It is mainly to wrap around pgamma.
And ecld.gamma_hgeo is the asymptotic expansion of $\Gamma(s,x)$
using hypergeometric series, $e^{-x} x^{s-1} {}_2 F_0 (1,1-s;;-1/x)$.
It is mainly used in for star OGF $L^{*}(k;\lambda)$.
ecld.gamma_2F0 is simply ${}_2 F_0 (1,1-s;;-1/x)$, which is used
in the star OGF expansion.
Usage
ecld.gamma(s, x = 0)
ecld.gamma_hgeo(s, x, order)
ecld.gamma_2F0(s, x, order)
Arguments
order
numeric, the order of the power series