Evaluating ∫0∞f(x)dx and ∫ab f(x)dx using residue calculus

Evaluating ∫0∞f(x)dx and ∫ab f(x)dx using residue calculus

In this essay we use complex analysis, in particular modern residue calculus, to compute certain Riemann integrals. === I den har uppsatsen använder vi komplex analys, då särskilt modern residykalkyl, for att beräkna vissa Riemann-integraler.

Bibliographic Details
Main Author: Berglund, André
Format: Others
Language:English
Published: Umeå universitet, Institutionen för matematik och matematisk statistik 2014
Subjects:
residue
sum
residues
integration
finite
distance
positive
real
line
complex
anaysis
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-92522
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spelling ndltd-UPSALLA1-oai-DiVA.org-umu-925222015-06-10T04:48:33ZEvaluating ∫0∞f(x)dx and ∫ab f(x)dx using residue calculusengBerglund, AndréUmeå universitet, Institutionen för matematik och matematisk statistik2014residuesumresiduesintegrationfinitedistancepositivereallinecomplexanaysisIn this essay we use complex analysis, in particular modern residue calculus, to compute certain Riemann integrals. I den har uppsatsen använder vi komplex analys, då särskilt modern residykalkyl, for att beräkna vissa Riemann-integraler. Student thesisinfo:eu-repo/semantics/bachelorThesistexthttp://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-92522application/pdfinfo:eu-repo/semantics/openAccess
collection NDLTD
language English
format Others
sources NDLTD
topic residue
sum
residues
integration
finite
distance
positive
real
line
complex
anaysis
spellingShingle residue
sum
residues
integration
finite
distance
positive
real
line
complex
anaysis
Berglund, André
Evaluating ∫0∞f(x)dx and ∫ab f(x)dx using residue calculus
description In this essay we use complex analysis, in particular modern residue calculus, to compute certain Riemann integrals. === I den har uppsatsen använder vi komplex analys, då särskilt modern residykalkyl, for att beräkna vissa Riemann-integraler.
author Berglund, André
author_facet Berglund, André
author_sort Berglund, André
title Evaluating ∫0∞f(x)dx and ∫ab f(x)dx using residue calculus
title_short Evaluating ∫0∞f(x)dx and ∫ab f(x)dx using residue calculus
title_full Evaluating ∫0∞f(x)dx and ∫ab f(x)dx using residue calculus
title_fullStr Evaluating ∫0∞f(x)dx and ∫ab f(x)dx using residue calculus
title_full_unstemmed Evaluating ∫0∞f(x)dx and ∫ab f(x)dx using residue calculus
title_sort evaluating ∫0∞f(x)dx and ∫ab f(x)dx using residue calculus
publisher Umeå universitet, Institutionen för matematik och matematisk statistik
publishDate 2014
url http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-92522
work_keys_str_mv AT berglundandre evaluating0fxdxandabfxdxusingresiduecalculus
_version_ 1716805189065768960

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