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Generalized trigonometric power sums covering the full circle
Citation Link: https://doi.org/10.15480/882.4361
Publikationstyp
Journal Article
Date Issued
2022-02-21
Sprache
English
Author(s)
TORE-DOI
Volume
10
Issue
2
Start Page
405
End Page
414
Citation
Journal of applied mathematics and physics 10 (2): 405-414 (2022-02-14)
Publisher DOI
Peer Reviewed
true
The analytical calculation of the area moments of inertia used for special mechanical tests in materials science and further generalizations for moments of different orders and broader symmetry properties has led to a new type of trigonometric power sums. The corresponding generalized equations are presented, proven, and their characteristics discussed. Although the power sums have a basic form, their results have quite different properties, dependent on the values of the free parameters used. From these equations, a large variety of power reduction formulas can be derived. This is shown by some examples.
Subjects
Trigonometric Power Sum
Power Reduction Formula
Trigonometric Identity
Central Binomial Coefficient
DDC Class
620: Ingenieurwissenschaften
Funding Organisations
DFG
Publication version
updatedVersion
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Name
Postprint-trig-power-sums-2022-Jelitto.pdf
Size
600.47 KB
Format
Adobe PDF