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… ►As an example, in the sector

|\operatorname{ph}z|\leq\frac{1}{2}\pi-\delta

(

<\frac{1}{2}\pi

) each of the functions

0,e^{-z}

, and

e^{-\sqrt{z}}

(principal value) has the null asymptotic expansion …

… ►In consequence, the asymptotic expansion obtained from (2.4.14) is no longer null. …