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Application of the Residue Theorem to Trigonometric Sum Identities
Received:December 18, 2008
Revised:June 30, 2009
Key Words
:
residue theorem
trigonometric function
contour integration.
Fund Project
:
Author Name
Affiliation
Xin WANG
Basic Research Department
,
Dalian Naval Academy
,
Liaoning 116018
,
P. R. China
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:
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Abstract
:
By evaluating a contour integral with the Cauchy residue theorem, we prove a general summation formula on trigonometric sum, which contains several interesting trigonometric identities as special cases.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2011.01.022
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