Saddle point approximation to Higher order

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 esti...

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Main Authors: Nicola Fabiano, Nikola Mirkov
Format: Article
Language:English
Published: University of Defence in Belgrade 2022-04-01
Series:Vojnotehnički Glasnik
Subjects:
Online Access:https://scindeks-clanci.ceon.rs/data/pdf/0042-8469/2022/0042-84692202447F.pdf
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author Nicola Fabiano
Nikola Mirkov
author_facet Nicola Fabiano
Nikola Mirkov
author_sort Nicola Fabiano
collection DOAJ
description 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.
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spelling doaj.art-64c0436cb59d49cf90358894b01bbc922022-12-21T21:19:05ZengUniversity of Defence in BelgradeVojnotehnički Glasnik0042-84692217-47532022-04-0170244746010.5937/vojtehg70­33507Saddle point approximation to Higher orderNicola Fabiano0https://orcid.org/0000-0003-1645-2071Nikola Mirkov1https://orcid.org/0000-0002-3057-9784University of Belgrade, ”Vinča” Institute of Nuclear Sciences ­ National Institute of the Republic of Serbia, Belgrade, Republic of SerbiaUniversity of Belgrade, ”Vinča” Institute of Nuclear Sciences ­ National Institute of the Republic of Serbia, Belgrade, Republic of SerbiaIntroduction/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.https://scindeks-clanci.ceon.rs/data/pdf/0042-8469/2022/0042-84692202447F.pdfsaddle point approximationstirling’s formulaquantum field theory
spellingShingle Nicola Fabiano
Nikola Mirkov
Saddle point approximation to Higher order
Vojnotehnički Glasnik
saddle point approximation
stirling’s formula
quantum field theory
title Saddle point approximation to Higher order
title_full Saddle point approximation to Higher order
title_fullStr Saddle point approximation to Higher order
title_full_unstemmed Saddle point approximation to Higher order
title_short Saddle point approximation to Higher order
title_sort saddle point approximation to higher order
topic saddle point approximation
stirling’s formula
quantum field theory
url https://scindeks-clanci.ceon.rs/data/pdf/0042-8469/2022/0042-84692202447F.pdf
work_keys_str_mv AT nicolafabiano saddlepointapproximationtohigherorder
AT nikolamirkov saddlepointapproximationtohigherorder