phenomenon is vindicated.

According to standard Poincar${\acute{\rm e}}$ asymptotics [@whi73], it is generally not permissible to differentiate an asymptotic expansion. Since it has been shown that the asymptotic forms in Sec. 2 yield exact values of $\ln \Gamma(z)$ over all values of the argument of $z$ and $\ln \Gamma(z)$ is differentiable, we can differentiate the asymptotic forms,n Thm. 2.1 thereby obtaining asymptotic forms for the digamma function, $\psi(z)$. Sec. 3 concludes with a theorem, which gives the asymptotic forms for this special function.

Whilst Secs. 2 and 3 are devoted to the derivation and verification of Borel-summed asymptotic forms for $\ln \Gamma(z)$, Sec. 4 presents the asymptotic forms for $\ln \Gamma(z)$ obtained via MB regularization. As mentioned earlier, MB regularization was introduced in Ref. [@kow95] because it was able to produce asymptotic forms that are more amenable and faster to compute than the corresponding forms obtained via Borel summation. However, this is not the only reason for studying the forms obtained by this technique. Suppose the solution $f(z)$ to a problem happens to equal $\ln \Gamma(z^n)$, where $n>2$. In this situation we cannot use the inherent routine in a software package such as Mathematica [@wol92] to calculate the values of 