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 \\ &\equiv \int^X_0 D(N, b, t) dt, ...

We show that $\[{F_a}\left( x \right) = \frac{{In\Gamma \left( {x + 1} \right)}} {{xIn\left( {ax} \right)}}\]$ can be considered as a Pick function when a ≥ 1, i.e ...

I SHOULD be greatly obliged if you could allow me a little of your valuable space to state that Dr. J. F. Tocher has kindly pointed out an error in my Introduction to ...