Power Sum and Sum of Partial Power Sums
Power Sum and Sum of Partial Power Sums
(May 1, 2008)
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Power Sum
 where p, n are positive integers.
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Computing the Power Sum for p = 1, 2, …, 14 gives
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Sum of Partial Power Sum (Update of Repeated Power Series, June 27, 2005)
Define
 ,where m, n, k, and i are positive integers.
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Computing the Sum of Partial Power Sum for m = 1, 2, …, 12 and for all positive n gives
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(May 1, 2008)
Similar series - Finite Alternative Odd Power Series.
In-Text or Website Citation
Tue N. Vu, Power Sum and Sum of Partial Power Sums, 05/01/2008, from Series Math Study Resource.
| Numbers are the highest degree of knowledge. It is knowledge itself. | |
| Plato |