The first forty-one coefficients of a continued fraction for $\ln \Gamma(z) + z - (z - 1/2) \ln z - \ln \surd \overline {2\pi}$, are given. The computation, based on Wall's algorithm for converting a ...
We define the incomplete gamma function ratio for positive N by \begin{align*}\tag{1}P(N, b, X) &= \int^X_0 t^{N-1}e^{-bt} dt/ \int^\infty_0 t^{N-1}e^{-bt} dt ...