The Powers Sums, Bernoulli Numbers, Bernoulli Polynomials Rethinked

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References

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https://thekeep.eiu.edu/theses/1896/

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[13] Chen, W.Y.C., Fu, A.M. and Zhang, I.F. (2009) Faulhaber’s Theorem on Power Sums. Discrete Mathematics, 309, 2974-2981.

https://doi.org/10.1016/j.disc.2008.07.027

[14] Do, T.S. (2016) Operator Calculus. Lambert Academic Publishing, Sarrbrücken, Germany.

[15] Do, T.S. (2018) The Faulhaber Problem on Sums of Powers on Arithmetic Progressions Resolved. Applied Physics Research, 10, 5-20.

https://doi.org/10.5539/apr.v10n2p5