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Analysis

International mathematical journal of analysis and its applications

Editor-in-Chief: Schulz, Friedmar

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CiteScore 2017: 0.66

SCImago Journal Rank (SJR) 2017: 0.564
Source Normalized Impact per Paper (SNIP) 2017: 0.674

Mathematical Citation Quotient (MCQ) 2016: 0.34

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Volume 32, Issue 2

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A uniform version of Laplace´s method for contour integrals

Thorsten Neuschel
Published Online: 2013-01-14 | DOI: https://doi.org/10.1524/anly.2012.1147

Abstract

It is the main objective of this note to establish a “simple and general” version of Laplace´s method for obtaining approximations for complex contour integrals of the type ∫P e-np(t,z)q(t,z)dt, as n→∞, holding uniformly with respect to a parameter z ∈ S, where S denotes some compact subset of . Moreover, two applications of this version are presented for illustration.

Keywords: asymptotic approximations (41A60)

About the article

* Correspondence address: Universität Trier, FB 4 - Mathematik, 54286 Trier, Deutschland,


Published Online: 2013-01-14

Published in Print: 2012-06-01


Citation Information: Analysis International mathematical journal of analysis and its applications, Volume 32, Issue 2, Pages 121–136, ISSN (Print) 0174-4747, DOI: https://doi.org/10.1524/anly.2012.1147.

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Citing Articles

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[1]
Seung-Yeop Lee and Roman Riser
Journal of Mathematical Physics, 2016, Volume 57, Number 2, Page 023302
[2]
Thorsten Neuschel
Constructive Approximation, 2014, Volume 40, Number 3, Page 487

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