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Teaching Mathematics and Computer Science

Vol. 13 No. 2 (2015)
Articles

Some thoughts concerning power sums

Published:
2015-12-01
DOI Linkhttps://doi.org/10.5485/TMCS.2015.0406
Author
Gábor Nyul
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Keywords
power sums Stirling numbers Bernoulli numbers
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Copyright (c) 2015 Gábor Nyul

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How To Cite
Selected Style: APA
Nyul, G. (2015). Some thoughts concerning power sums. Teaching Mathematics and Computer Science, 13(2), 303-308. https://doi.org/10.5485/TMCS.2015.0406
Abstract
In this note we present an elementary way to derive directly closed-form expressions for power sums. Applying this method, we deduce some general results on power sums with arbitrary exponents. Finally, we give an outlook on higher mathematical connections between power sums, Stirling and Bernoulli numbers.