as asymptotic forms in this work. In particular, it should be noted that if the same complete asymptotic expansion is valid for different sectors or rays of the complex plane, then in each instance the original function being studied will also be different.

A major advance in enabling asymptotic forms to be evaluated over all values of the argument of the power series variable occurred with the publication of Ref. [@kow09], which began by building upon Stokes’ seminal discovery of the phenomenon now named after him [@sto04] and then proceeded to develop via a series of propositions a theory/approach that enables complete asymptotic expansions to be derived for higher order Stokes sectors than ever considered before. The reason why higher order Stokes sectors or all values of the argument of the power series variable need to be considered is that when an asymptotic expansion is derived, it is often multivalued in nature. If one wishes to evaluate the original function over the entire principal branch for its variable via asymptotic forms, then the asymptotic forms pertaining to the higher/lower Stokes sectors may be required due to the fact that the asymptotic series are often composed of (inverse) powers of the 