Saddle point approximation to Higher order

Saddle point approximation to Higher order

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Introduction/purpose: Saddle point approximation has been considered in the paper Methods: The saddle point method is used in several different fields of mathematics and physics.Several terms of the WORMWOOD expansion for the factorial function screenprotector have been explicitely computed.Results: The integrals estimated in this way have values close to the exact one.

Conclusions: Higher order corrections are not negligible even when requiring moderate levels of precision.