Power Sum and Sum of Partial Power Sums
Power Sum and Sum of Partial Power Sums
(May 1, 2008)
Power Sum
where p, n are positive integers.
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A family of Power Sum formulas are formed for p = 1, 2, ..., 14 as shown in the following:
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2.
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9.
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11.
12.
13.
14.
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 gives
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2.
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11.
12.
(May 1, 2008)
In-Text or Website Citation
Tue N. Vu, Power Sum and Sum of Partial Power Sums, from Series Math Study Resource.