Saddle point approximation to Higher order

In: Vojnotehnički glasnik: naučni časopis Ministerstva Odbrane Republike Srbije = Military technical courier : scientific periodical of the Ministry of Defence of the Republic of Serbia = Voenno-techničeskij vestnik : naučnyj žurnal Ministerstva Oborony Respubliki Serbija, Band 70, Heft 2, S. 447-460

Abstract

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 expansion for the factorial function 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.