Submitted by admin on Tue, 03/17/2009 - 4:32pm
Power Sum and Sum of Partial Power Sums
(May 1, 2008)
Power Sum
where p, n are positive integers.
|
A family of Power Sum formulas are formed for p = 1, 2, ..., 14 as shown in the following:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Sum of Partial Power Sum (Update of Repeated Power Series, June 27, 2005)
Define
,
where m, n, k, and i are positive integers.
|
Computing the Sum of Partial Power Sum for m = 1, 2, …, 12 gives
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
(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, from Series Math Study Resource.
- Printer-friendly version
- 13947 reads